956405970 has 96 divisors (see below), whose sum is σ = 2750437872. Its totient is φ = 229049856.

The previous prime is 956405969. The next prime is 956405971. The reversal of 956405970 is 79504659.

It is a happy number.

956405970 is a `hidden beast` number, since 9 + 56 + 4 + 0 + 597 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (956405969) and next prime (956405971).

It can be written as a sum of positive squares in 8 ways, for example, as 669205161 + 287200809 = 25869^2 + 16947^2 .

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

It is not an unprimeable number, because it can be changed into a prime (956405971) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32244 + ... + 54336.

Almost surely, 2^956405970 is an apocalyptic number.

956405970 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 956405970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1375218936).

956405970 is an abundant number, since it is smaller than the sum of its proper divisors (1794031902).

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

956405970 is a wasteful number, since it uses less digits than its factorization.

956405970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22156 (or 22153 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 956405970 is about 30925.8139747364. The cubic root of 956405970 is about 985.2522291181.

The spelling of 956405970 in words is "nine hundred fifty-six million, four hundred five thousand, nine hundred seventy".