409251904 has 28 divisors (see below), whose sum is σ = 821245500. Its totient is φ = 202323968.

The previous prime is 409251901. The next prime is 409251917. The reversal of 409251904 is 409152904.

It can be written as a sum of positive squares in 2 ways, for example, as 287370304 + 121881600 = 16952^2 + 11040^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 409251904.

It is not an unprimeable number, because it can be changed into a prime (409251901) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 30229 + ... + 41620.

Almost surely, 2^409251904 is an apocalyptic number.

It is an amenable number.

409251904 is an abundant number, since it is smaller than the sum of its proper divisors (411993596).

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

409251904 is an equidigital number, since it uses as much as digits as its factorization.

409251904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71950 (or 71940 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 409251904 is about 20229.9753830794. The cubic root of 409251904 is about 742.4437737393.

The spelling of 409251904 in words is "four hundred nine million, two hundred fifty-one thousand, nine hundred four".