409056 has 24 divisors (see below), whose sum is σ = 1074024. Its totient is φ = 136320.

The previous prime is 409043. The next prime is 409063. The reversal of 409056 is 650904.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×409056² = 334653622272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 409056.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2035 + ... + 2226.

It is an arithmetic number, because the mean of its divisors is an integer number (44751).

2⁴⁰⁹⁰⁵⁶ is an apocalyptic number.

It is an amenable number.

409056 is an abundant number, since it is smaller than the sum of its proper divisors (664968).

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

409056 is a wasteful number, since it uses less digits than its factorization.

409056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4274 (or 4266 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 409056 is about 639.5748587929. The cubic root of 409056 is about 74.2325288508.

The spelling of 409056 in words is "four hundred nine thousand, fifty-six".