900958032 has 160 divisors (see below), whose sum is σ = 2807736960. Its totient is φ = 274959360.

The previous prime is 900958031. The next prime is 900958033. The reversal of 900958032 is 230859009.

900958032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (900958031) and next prime (900958033).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900958031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 768807 + ... + 769977.

It is an arithmetic number, because the mean of its divisors is an integer number (17548356).

Almost surely, 2^900958032 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 900958032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403868480).

900958032 is an abundant number, since it is smaller than the sum of its proper divisors (1906778928).

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

900958032 is a wasteful number, since it uses less digits than its factorization.

900958032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 900958032 is about 30015.9629530688. The cubic root of 900958032 is about 965.8318445005.

The spelling of 900958032 in words is "nine hundred million, nine hundred fifty-eight thousand, thirty-two".