204420864 has 72 divisors (see below), whose sum is σ = 547464960. Its totient is φ = 67714048.

The previous prime is 204420863. The next prime is 204420871. The reversal of 204420864 is 468024402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204420863) 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, 136729 + ... + 138215.

It is an arithmetic number, because the mean of its divisors is an integer number (7603680).

Almost surely, 2^204420864 is an apocalyptic number.

204420864 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 204420864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273732480).

204420864 is an abundant number, since it is smaller than the sum of its proper divisors (343044096).

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

204420864 is a wasteful number, since it uses less digits than its factorization.

204420864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1685 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 204420864 is about 14297.5824529883. The cubic root of 204420864 is about 589.0810783855.

The spelling of 204420864 in words is "two hundred four million, four hundred twenty thousand, eight hundred sixty-four".