204813408 has 96 divisors (see below), whose sum is σ = 550416384. Its totient is φ = 66673152.

The previous prime is 204813397. The next prime is 204813419. The reversal of 204813408 is 804318402.

It is an interprime number because it is at equal distance from previous prime (204813397) and next prime (204813419).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1304466 + ... + 1304622.

It is an arithmetic number, because the mean of its divisors is an integer number (5733504).

Almost surely, 2^204813408 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 204813408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275208192).

204813408 is an abundant number, since it is smaller than the sum of its proper divisors (345602976).

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

204813408 is a wasteful number, since it uses less digits than its factorization.

204813408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 204813408 is about 14311.3035045729. The cubic root of 204813408 is about 589.4579029117.

The spelling of 204813408 in words is "two hundred four million, eight hundred thirteen thousand, four hundred eight".