506417904 has 60 divisors (see below), whose sum is σ = 1418911416. Its totient is φ = 168610176.

The previous prime is 506417881. The next prime is 506417917. The reversal of 506417904 is 409714605.

506417904 is a `hidden beast` number, since 5 + 0 + 641 + 7 + 9 + 0 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 176707 + ... + 179549.

Almost surely, 2^506417904 is an apocalyptic number.

It is an amenable number.

506417904 is an abundant number, since it is smaller than the sum of its proper divisors (912493512).

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

506417904 is a wasteful number, since it uses less digits than its factorization.

506417904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4094 (or 4085 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 506417904 is about 22503.7308906768. The cubic root of 506417904 is about 797.0820280734.

The spelling of 506417904 in words is "five hundred six million, four hundred seventeen thousand, nine hundred four".