507409056 has 384 divisors, whose sum is σ = 1916006400. Its totient is φ = 126766080.

The previous prime is 507408997. The next prime is 507409093. The reversal of 507409056 is 650904705.

It is a super-2 number, since 2×507409056² = 514927900221622272, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 507409056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1929181 + ... + 1929443.

It is an arithmetic number, because the mean of its divisors is an integer number (4989600).

Almost surely, 2^507409056 is an apocalyptic number.

507409056 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 507409056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958003200).

507409056 is an abundant number, since it is smaller than the sum of its proper divisors (1408597344).

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

507409056 is a wasteful number, since it uses less digits than its factorization.

507409056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 315 counting only the distinct ones).

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

The square root of 507409056 is about 22525.7420743469. The cubic root of 507409056 is about 797.6017007187.

The spelling of 507409056 in words is "five hundred seven million, four hundred nine thousand, fifty-six".