204409440 has 96 divisors (see below), whose sum is σ = 715448160. Its totient is φ = 54508032.

The previous prime is 204409427. The next prime is 204409459. The reversal of 204409440 is 44904402.

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

It is a super-2 number, since 2×204409440² = 83566438322227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 19339 + ... + 27978.

It is an arithmetic number, because the mean of its divisors is an integer number (7452585).

Almost surely, 2^204409440 is an apocalyptic number.

204409440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204409440 is an abundant number, since it is smaller than the sum of its proper divisors (511038720).

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

204409440 is a wasteful number, since it uses less digits than its factorization.

204409440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47341 (or 47327 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 204409440 is about 14297.1829393066. The cubic root of 204409440 is about 589.0701046400.

The spelling of 204409440 in words is "two hundred four million, four hundred nine thousand, four hundred forty".