409708090 has 64 divisors (see below), whose sum is σ = 837485568. Its totient is φ = 142963200.

The previous prime is 409708081. The next prime is 409708097. The reversal of 409708090 is 90807904.

It is a happy number.

It is a super-2 number, since 2×409708090² = 335721438022896200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (409708097) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 466732 + ... + 467608.

It is an arithmetic number, because the mean of its divisors is an integer number (13085712).

Almost surely, 2^409708090 is an apocalyptic number.

409708090 is an abundant number, since it is smaller than the sum of its proper divisors (427777478).

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

409708090 is a wasteful number, since it uses less digits than its factorization.

409708090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063.

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 409708090 is about 20241.2472441794. The cubic root of 409708090 is about 742.7195343691.

The spelling of 409708090 in words is "four hundred nine million, seven hundred eight thousand, ninety".