204564416 has 168 divisors, whose sum is σ = 508351536. Its totient is φ = 81285120.

The previous prime is 204564413. The next prime is 204564433. The reversal of 204564416 is 614465402.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204564413) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4757291 + ... + 4757333.

It is an arithmetic number, because the mean of its divisors is an integer number (3025902).

Almost surely, 2^204564416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204564416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254175768).

204564416 is an abundant number, since it is smaller than the sum of its proper divisors (303787120).

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

204564416 is a wasteful number, since it uses less digits than its factorization.

204564416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 204564416 is about 14302.6017213652. The cubic root of 204564416 is about 589.2189377318.

The spelling of 204564416 in words is "two hundred four million, five hundred sixty-four thousand, four hundred sixteen".