415661904 has 90 divisors (see below), whose sum is σ = 1353221610. Its totient is φ = 118758528.

The previous prime is 415661893. The next prime is 415661929. The reversal of 415661904 is 409166514.

415661904 is a `hidden beast` number, since 4 + 1 + 566 + 1 + 90 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 223562304 + 192099600 = 14952^2 + 13860^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 22399 + ... + 36510.

Almost surely, 2^415661904 is an apocalyptic number.

It is an amenable number.

415661904 is an abundant number, since it is smaller than the sum of its proper divisors (937559706).

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

415661904 is a wasteful number, since it uses less digits than its factorization.

415661904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58937 (or 58921 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 415661904 is about 20387.7881095522. The cubic root of 415661904 is about 746.2999414402.

The spelling of 415661904 in words is "four hundred fifteen million, six hundred sixty-one thousand, nine hundred four".