204228864 has 324 divisors, whose sum is σ = 720951504. Its totient is φ = 57480192.

The previous prime is 204228847. The next prime is 204228881. The reversal of 204228864 is 468822402.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (204228847) and next prime (204228881).

It is a tau number, because it is divible by the number of its divisors (324).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3048159 + ... + 3048225.

Almost surely, 2^204228864 is an apocalyptic number.

204228864 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 204228864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360475752).

204228864 is an abundant number, since it is smaller than the sum of its proper divisors (516722640).

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

204228864 is an frugal number, since it uses more digits than its factorization.

204228864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 204228864 is about 14290.8664537879. The cubic root of 204228864 is about 588.8965913527.

The spelling of 204228864 in words is "two hundred four million, two hundred twenty-eight thousand, eight hundred sixty-four".