409916256 has 24 divisors (see below), whose sum is σ = 1076030424. Its totient is φ = 136638720.

The previous prime is 409916239. The next prime is 409916341. The reversal of 409916256 is 652619904.

It is a happy number.

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

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 2134885 + ... + 2135076.

It is an arithmetic number, because the mean of its divisors is an integer number (44834601).

Almost surely, 2^409916256 is an apocalyptic number.

It is an amenable number.

409916256 is an abundant number, since it is smaller than the sum of its proper divisors (666114168).

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

409916256 is a wasteful number, since it uses less digits than its factorization.

409916256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4269974 (or 4269966 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 409916256 is about 20246.3887150277. The cubic root of 409916256 is about 742.8453009665.

The spelling of 409916256 in words is "four hundred nine million, nine hundred sixteen thousand, two hundred fifty-six".