953993952 has 144 divisors (see below), whose sum is σ = 2869972560. Its totient is φ = 299759616.

The previous prime is 953993941. The next prime is 953993987. The reversal of 953993952 is 259399359.

953993952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1712458 + ... + 1713014.

It is an arithmetic number, because the mean of its divisors is an integer number (19930365).

Almost surely, 2^953993952 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 953993952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434986280).

953993952 is an abundant number, since it is smaller than the sum of its proper divisors (1915978608).

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

953993952 is a wasteful number, since it uses less digits than its factorization.

953993952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 894 counting only the distinct ones).

The product of its digits is 2952450, while the sum is 54.

The square root of 953993952 is about 30886.7925171909. The cubic root of 953993952 is about 984.4232761569.

The spelling of 953993952 in words is "nine hundred fifty-three million, nine hundred ninety-three thousand, nine hundred fifty-two".