956474496 has 96 divisors (see below), whose sum is σ = 2841246720. Its totient is φ = 308528640.

The previous prime is 956474483. The next prime is 956474521. The reversal of 956474496 is 694474659.

It is a happy number.

956474496 is a `hidden beast` number, since 9 + 564 + 74 + 4 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×956474496² = 1829686922996908032, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22321 + ... + 49103.

It is an arithmetic number, because the mean of its divisors is an integer number (29596320).

Almost surely, 2^956474496 is an apocalyptic number.

956474496 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

956474496 is the 17856-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 956474496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420623360).

956474496 is an abundant number, since it is smaller than the sum of its proper divisors (1884772224).

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

956474496 is a wasteful number, since it uses less digits than its factorization.

956474496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26834 (or 26819 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The square root of 956474496 is about 30926.9218642916. The cubic root of 956474496 is about 985.2757594960.

The spelling of 956474496 in words is "nine hundred fifty-six million, four hundred seventy-four thousand, four hundred ninety-six".