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474898464 = 2534199643
BaseRepresentation
bin11100010011100…
…110000000100000
31020002121100020000
4130103212000200
51433033222324
6115042420000
714524366425
oct3423460040
91202540200
10474898464
11224082277
12113061600
1377506911
14470ddd4c
152ba5a9c9
hex1c4e6020

474898464 has 120 divisors (see below), whose sum is σ = 1470324240. Its totient is φ = 149952384.

The previous prime is 474898447. The next prime is 474898469. The reversal of 474898464 is 464898474.

It is a super-2 number, since 2×4748984642 = 451057102219118592, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 474898464.

It is not an unprimeable number, because it can be changed into a prime (474898469) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 44427 + ... + 54069.

It is an arithmetic number, because the mean of its divisors is an integer number (12252702).

Almost surely, 2474898464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 474898464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735162120).

474898464 is an abundant number, since it is smaller than the sum of its proper divisors (995425776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

474898464 is a wasteful number, since it uses less digits than its factorization.

474898464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9684 (or 9667 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The square root of 474898464 is about 21792.1651976117. The cubic root of 474898464 is about 780.1897763083.

The spelling of 474898464 in words is "four hundred seventy-four million, eight hundred ninety-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 81 96 108 114 144 152 162 171 216 228 288 304 324 342 432 456 513 608 648 684 864 912 1026 1296 1368 1539 1824 2052 2592 2736 3078 4104 5472 6156 8208 9643 12312 16416 19286 24624 28929 38572 49248 57858 77144 86787 115716 154288 173574 183217 231432 260361 308576 347148 366434 462864 520722 549651 694296 732868 781083 925728 1041444 1099302 1388592 1465736 1562166 1648953 2082888 2198604 2777184 2931472 3124332 3297906 4165776 4397208 4946859 5862944 6248664 6595812 8331552 8794416 9893718 12497328 13191624 14840577 17588832 19787436 24994656 26383248 29681154 39574872 52766496 59362308 79149744 118724616 158299488 237449232 474898464