909902952 has 144 divisors (see below), whose sum is σ = 2906750340. Its totient is φ = 256338432.

The previous prime is 909902893. The next prime is 909902957. The reversal of 909902952 is 259209909.

It can be written as a sum of positive squares in 2 ways, for example, as 871784676 + 38118276 = 29526^2 + 6174^2 .

It is a junction number, because it is equal to n+sod(n) for n = 909902898 and 909902907.

It is not an unprimeable number, because it can be changed into a prime (909902957) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 255778 + ... + 259310.

Almost surely, 2^909902952 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 909902952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453375170).

909902952 is an abundant number, since it is smaller than the sum of its proper divisors (1996847388).

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

909902952 is a wasteful number, since it uses less digits than its factorization.

909902952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3632 (or 3618 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The square root of 909902952 is about 30164.5976601711. The cubic root of 909902952 is about 969.0176585586.

The spelling of 909902952 in words is "nine hundred nine million, nine hundred two thousand, nine hundred fifty-two".