409513896 has 96 divisors (see below), whose sum is σ = 1262589120. Its totient is φ = 118694400.

The previous prime is 409513883. The next prime is 409513927. The reversal of 409513896 is 698315904.

It is a happy number.

409513896 is a `hidden beast` number, since 40 + 9 + 513 + 8 + 96 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6976 + ... + 29456.

It is an arithmetic number, because the mean of its divisors is an integer number (13151970).

Almost surely, 2^409513896 is an apocalyptic number.

409513896 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409513896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631294560).

409513896 is an abundant number, since it is smaller than the sum of its proper divisors (853075224).

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

409513896 is a wasteful number, since it uses less digits than its factorization.

409513896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22527 (or 22520 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 409513896 is about 20236.4496886188. The cubic root of 409513896 is about 742.6021707514.

The spelling of 409513896 in words is "four hundred nine million, five hundred thirteen thousand, eight hundred ninety-six".