204361920 has 448 divisors, whose sum is σ = 858316800. Its totient is φ = 44789760.

The previous prime is 204361909. The next prime is 204361931. The reversal of 204361920 is 29163402.

204361920 is a `hidden beast` number, since 2 + 0 + 43 + 619 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (204361909) and next prime (204361931).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1874826 + ... + 1874934.

Almost surely, 2^204361920 is an apocalyptic number.

204361920 is a gapful number since it is divisible by the number (20) 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 204361920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429158400).

204361920 is an abundant number, since it is smaller than the sum of its proper divisors (653954880).

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

204361920 is a wasteful number, since it uses less digits than its factorization.

204361920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 204361920 is about 14295.5209768654. The cubic root of 204361920 is about 589.0244531593.

The spelling of 204361920 in words is "two hundred four million, three hundred sixty-one thousand, nine hundred twenty".