523838900 has 72 divisors (see below), whose sum is σ = 1252773984. Its totient is φ = 188899200.

The previous prime is 523838893. The next prime is 523838947. The reversal of 523838900 is 9838325.

523838900 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

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, 51215 + ... + 60585.

Almost surely, 2^523838900 is an apocalyptic number.

523838900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 523838900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626386992).

523838900 is an abundant number, since it is smaller than the sum of its proper divisors (728935084).

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

523838900 is a wasteful number, since it uses less digits than its factorization.

523838900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9441 (or 9434 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 523838900 is about 22887.5271709287. The cubic root of 523838900 is about 806.1191691243.

The spelling of 523838900 in words is "five hundred twenty-three million, eight hundred thirty-eight thousand, nine hundred".