409115088 has 60 divisors (see below), whose sum is σ = 1159479360. Its totient is φ = 134641728.

The previous prime is 409115039. The next prime is 409115117. The reversal of 409115088 is 880511904.

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 11 ways as a sum of consecutive naturals, for example, 6606 + ... + 29357.

It is an arithmetic number, because the mean of its divisors is an integer number (19324656).

Almost surely, 2^409115088 is an apocalyptic number.

409115088 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

409115088 is an abundant number, since it is smaller than the sum of its proper divisors (750364272).

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

409115088 is a wasteful number, since it uses less digits than its factorization.

409115088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36056 (or 36047 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 409115088 is about 20226.5935836957. The cubic root of 409115088 is about 742.3610296658.

The spelling of 409115088 in words is "four hundred nine million, one hundred fifteen thousand, eighty-eight".