952400872920 has 256 divisors, whose sum is σ = 3531020636160. Its totient is φ = 200526815232.

The previous prime is 952400872909. The next prime is 952400872931. The reversal of 952400872920 is 29278004259.

It is an interprime number because it is at equal distance from previous prime (952400872909) and next prime (952400872931).

It is a self number, because there is not a number n which added to its sum of digits gives 952400872920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38359 + ... + 1380678.

It is an arithmetic number, because the mean of its divisors is an integer number (13793049360).

Almost surely, 2^952400872920 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 952400872920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1765510318080).

952400872920 is an abundant number, since it is smaller than the sum of its proper divisors (2578619763240).

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

952400872920 is a wasteful number, since it uses less digits than its factorization.

952400872920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1419122 (or 1419118 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 952400872920 in words is "nine hundred fifty-two billion, four hundred million, eight hundred seventy-two thousand, nine hundred twenty".