900432 has 90 divisors (see below), whose sum is σ = 2802462. Its totient is φ = 269568.

The previous prime is 900409. The next prime is 900443. The reversal of 900432 is 234009.

900432 is nontrivially palindromic in base 5 and base 11.

It can be written as a sum of positive squares in 3 ways, for example, as 46656 + 853776 = 216^2 + 924^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 24318 + ... + 24354.

2⁹⁰⁰⁴³² 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 900432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401231).

900432 is an abundant number, since it is smaller than the sum of its proper divisors (1902030).

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

900432 is a wasteful number, since it uses less digits than its factorization.

900432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 900432 is about 948.9109547265. The cubic root of 900432 is about 96.5643838197.

The spelling of 900432 in words is "nine hundred thousand, four hundred thirty-two".