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484694440 = 235594
BaseRepresentation
bin11100111000111…
…101100110101000
31020210001000202221
4130320331212220
51443040210230
6120032403424
715003556216
oct3470754650
91223030687
10484694440
1122966311a
121163a6574
1379556659
144852dcb6
152c84327a
hex1ce3d9a8

484694440 has 40 divisors (see below), whose sum is σ = 1109365290. Its totient is φ = 190591712.

The previous prime is 484694417. The next prime is 484694443. The reversal of 484694440 is 44496484.

It can be written as a sum of positive squares in only one way, i.e., 436224996 + 48469444 = 20886^2 + 6962^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (484694443) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 8215131 + ... + 8215189.

Almost surely, 2484694440 is an apocalyptic number.

484694440 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 484694440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554682645).

484694440 is an abundant number, since it is smaller than the sum of its proper divisors (624670850).

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

484694440 is an frugal number, since it uses more digits than its factorization.

484694440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 43.

The square root of 484694440 is about 22015.7770700923. Note that the first 3 decimals coincide. The cubic root of 484694440 is about 785.5177673337.

The spelling of 484694440 in words is "four hundred eighty-four million, six hundred ninety-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 59 118 236 295 472 590 1180 2360 3481 6962 13924 17405 27848 34810 69620 139240 205379 410758 821516 1026895 1643032 2053790 4107580 8215160 12117361 24234722 48469444 60586805 96938888 121173610 242347220 484694440