409157056 has 168 divisors, whose sum is σ = 1068476400. Its totient is φ = 153538560.

The previous prime is 409157053. The next prime is 409157059. The reversal of 409157056 is 650751904.

It is an interprime number because it is at equal distance from previous prime (409157053) and next prime (409157059).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409157053) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1000180 + ... + 1000588.

Almost surely, 2^409157056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409157056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534238200).

409157056 is an abundant number, since it is smaller than the sum of its proper divisors (659319344).

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

409157056 is a wasteful number, since it uses less digits than its factorization.

409157056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 37.

The square root of 409157056 is about 20227.6310031600. The cubic root of 409157056 is about 742.3864131853.

The spelling of 409157056 in words is "four hundred nine million, one hundred fifty-seven thousand, fifty-six".