409059456 has 64 divisors (see below), whose sum is σ = 1170160320. Its totient is φ = 125862912.

The previous prime is 409059433. The next prime is 409059461. The reversal of 409059456 is 654950904.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35980 + ... + 45963.

It is an arithmetic number, because the mean of its divisors is an integer number (18283755).

Almost surely, 2^409059456 is an apocalyptic number.

It is an amenable number.

409059456 is an abundant number, since it is smaller than the sum of its proper divisors (761100864).

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

409059456 is a wasteful number, since it uses less digits than its factorization.

409059456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81973 (or 81961 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 409059456 is about 20225.2183177339. The cubic root of 409059456 is about 742.3273790687.

It can be divided in two parts, 4090 and 59456, that added together give a triangular number (63546 = T₃₅₆).

The spelling of 409059456 in words is "four hundred nine million, fifty-nine thousand, four hundred fifty-six".