956352852 has 384 divisors, whose sum is σ = 3267461120. Its totient is φ = 235146240.

The previous prime is 956352827. The next prime is 956352869. The reversal of 956352852 is 258253659.

956352852 is a `hidden beast` number, since 9 + 5 + 635 + 2 + 8 + 5 + 2 = 666.

It is a super-2 number, since 2×956352852² = 1829221555057067808, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (648000) is a multiple of the sum of its prime factors (180).

It is a junction number, because it is equal to n+sod(n) for n = 956352798 and 956352807.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 13100688 + ... + 13100760.

Almost surely, 2^956352852 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 956352852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1633730560).

956352852 is an abundant number, since it is smaller than the sum of its proper divisors (2311108268).

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

956352852 is a wasteful number, since it uses less digits than its factorization.

956352852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 172 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The square root of 956352852 is about 30924.9551656910. The cubic root of 956352852 is about 985.2339887479.

The spelling of 956352852 in words is "nine hundred fifty-six million, three hundred fifty-two thousand, eight hundred fifty-two".