409057506 has 64 divisors (see below), whose sum is σ = 1067955840. Its totient is φ = 114419520.

The previous prime is 409057487. The next prime is 409057529. The reversal of 409057506 is 605750904.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18765 + ... + 34208.

It is an arithmetic number, because the mean of its divisors is an integer number (16686810).

Almost surely, 2^409057506 is an apocalyptic number.

409057506 is an abundant number, since it is smaller than the sum of its proper divisors (658898334).

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

409057506 is a wasteful number, since it uses less digits than its factorization.

409057506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53008 (or 53002 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 409057506 is about 20225.1701105331. The cubic root of 409057506 is about 742.3261995004.

The spelling of 409057506 in words is "four hundred nine million, fifty-seven thousand, five hundred six".