956478240 has 384 divisors, whose sum is σ = 3619123200. Its totient is φ = 235146240.

The previous prime is 956478223. The next prime is 956478251. The reversal of 956478240 is 42874659.

It is a happy number.

956478240 is a `hidden beast` number, since 9 + 564 + 7 + 82 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3529305 + ... + 3529575.

It is an arithmetic number, because the mean of its divisors is an integer number (9424800).

Almost surely, 2^956478240 is an apocalyptic number.

956478240 is a gapful number since it is divisible by the number (90) 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 956478240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1809561600).

956478240 is an abundant number, since it is smaller than the sum of its proper divisors (2662644960).

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

956478240 is a wasteful number, since it uses less digits than its factorization.

956478240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 956478240 is about 30926.9823940196. The cubic root of 956478240 is about 985.2770450740.

The spelling of 956478240 in words is "nine hundred fifty-six million, four hundred seventy-eight thousand, two hundred forty".