204552864 has 120 divisors (see below), whose sum is σ = 613346580. Its totient is φ = 66852864.

The previous prime is 204552851. The next prime is 204552871. The reversal of 204552864 is 468255402.

It is a happy number.

204552864 is a `hidden beast` number, since 20 + 4 + 552 + 86 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 204261264 + 291600 = 14292^2 + 540^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 19 ways as a sum of consecutive naturals, for example, 136632 + ... + 138120.

Almost surely, 2^204552864 is an apocalyptic number.

204552864 is a gapful number since it is divisible by the number (24) 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 204552864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306673290).

204552864 is an abundant number, since it is smaller than the sum of its proper divisors (408793716).

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

204552864 is a wasteful number, since it uses less digits than its factorization.

204552864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1564 (or 1547 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 204552864 is about 14302.1978730543. The cubic root of 204552864 is about 589.2078462210.

The spelling of 204552864 in words is "two hundred four million, five hundred fifty-two thousand, eight hundred sixty-four".