438900 has 144 divisors (see below), whose sum is σ = 1666560. Its totient is φ = 86400.

The previous prime is 438899. The next prime is 438913. The reversal of 438900 is 9834.

438900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23091 + ... + 23109.

2⁴³⁸⁹⁰⁰ 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 438900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833280).

438900 is an abundant number, since it is smaller than the sum of its proper divisors (1227660).

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

438900 is a wasteful number, since it uses less digits than its factorization.

438900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 438900 is about 662.4952830021. The cubic root of 438900 is about 75.9956137819.

The spelling of 438900 in words is "four hundred thirty-eight thousand, nine hundred".