204824920 has 32 divisors (see below), whose sum is σ = 461988720. Its totient is φ = 81728640.

The previous prime is 204824903. The next prime is 204824927. The reversal of 204824920 is 29428402.

It is a super-4 number, since 4×204824920⁴ (a number of 34 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204824927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10759 + ... + 22921.

Almost surely, 2^204824920 is an apocalyptic number.

204824920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204824920 is an abundant number, since it is smaller than the sum of its proper divisors (257163800).

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

204824920 is a wasteful number, since it uses less digits than its factorization.

204824920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12595 (or 12591 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 204824920 is about 14311.7056984833. The cubic root of 204824920 is about 589.4689466422.

The spelling of 204824920 in words is "two hundred four million, eight hundred twenty-four thousand, nine hundred twenty".