409181904 has 30 divisors (see below), whose sum is σ = 1145141426. Its totient is φ = 136393920.

The previous prime is 409181887. The next prime is 409181911.

409181904 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 405941904 + 3240000 = 20148^2 + 1800^2 .

It is a super-2 number, since 2×409181904² = 334859661122130432, which contains 22 as substring.

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 5 ways as a sum of consecutive naturals, for example, 1420627 + ... + 1420914.

Almost surely, 2^409181904 is an apocalyptic number.

It is an amenable number.

409181904 is an abundant number, since it is smaller than the sum of its proper divisors (735959522).

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

409181904 is a wasteful number, since it uses less digits than its factorization.

409181904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2841555 (or 2841546 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 409181904 is about 20228.2452031806. The cubic root of 409181904 is about 742.4014411913.

The spelling of 409181904 in words is "four hundred nine million, one hundred eighty-one thousand, nine hundred four".