956142400 has 42 divisors (see below), whose sum is σ = 2352711830. Its totient is φ = 382456320.

The previous prime is 956142389. The next prime is 956142401. The reversal of 956142400 is 4241659.

956142400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 13897984 + 942244416 = 3728^2 + 30696^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (956142401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 297195 + ... + 300394.

Almost surely, 2^956142400 is an apocalyptic number.

It is an amenable number.

956142400 is an abundant number, since it is smaller than the sum of its proper divisors (1396569430).

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

956142400 is a wasteful number, since it uses less digits than its factorization.

956142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597611 (or 597596 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 956142400 is about 30921.5523543046. The cubic root of 956142400 is about 985.1617142821.

The spelling of 956142400 in words is "nine hundred fifty-six million, one hundred forty-two thousand, four hundred".