204634416 has 80 divisors (see below), whose sum is σ = 605715200. Its totient is φ = 58316544.

The previous prime is 204634393. The next prime is 204634433. The reversal of 204634416 is 614436402.

It is a super-2 number, since 2×204634416² = 83750488423322112, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 237795 + ... + 238653.

It is an arithmetic number, because the mean of its divisors is an integer number (7571440).

Almost surely, 2^204634416 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 204634416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302857600).

204634416 is an abundant number, since it is smaller than the sum of its proper divisors (401080784).

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

204634416 is a wasteful number, since it uses less digits than its factorization.

204634416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1586 (or 1580 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 204634416 is about 14305.0486192812. The cubic root of 204634416 is about 589.2861384418.

The spelling of 204634416 in words is "two hundred four million, six hundred thirty-four thousand, four hundred sixteen".