952036982400 has 1536 divisors, whose sum is σ = 3963174912000. Its totient is φ = 195980083200.

The previous prime is 952036982399. The next prime is 952036982441. The reversal of 952036982400 is 4289630259.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 952036982400.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2651913421 + ... + 2651913779.

It is an arithmetic number, because the mean of its divisors is an integer number (2580192000).

Almost surely, 2^952036982400 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 952036982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1981587456000).

952036982400 is an abundant number, since it is smaller than the sum of its proper divisors (3011137929600).

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

952036982400 is a wasteful number, since it uses less digits than its factorization.

952036982400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 952036982400 in words is "nine hundred fifty-two billion, thirty-six million, nine hundred eighty-two thousand, four hundred".