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474863040 = 26335175361
BaseRepresentation
bin11100010011011…
…101010111000000
31020002112112122000
4130103131113000
51433031104130
6115041544000
714524161231
oct3423352700
91202475560
10474863040
112240586a3
12113045000
13774c3762
14470d1088
152ba50260
hex1c4dd5c0

474863040 has 448 divisors, whose sum is σ = 1836846720. Its totient is φ = 115015680.

The previous prime is 474863021. The next prime is 474863089. The reversal of 474863040 is 40368474.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 474862986 and 474863004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7784610 + ... + 7784670.

Almost surely, 2474863040 is an apocalyptic number.

474863040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 474863040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918423360).

474863040 is an abundant number, since it is smaller than the sum of its proper divisors (1361983680).

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

474863040 is a wasteful number, since it uses less digits than its factorization.

474863040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 474863040 is about 21791.3524132854. The cubic root of 474863040 is about 780.1703769827.

The spelling of 474863040 in words is "four hundred seventy-four million, eight hundred sixty-three thousand, forty".