504406512 has 180 divisors, whose sum is σ = 1523001480. Its totient is φ = 155570688.

The previous prime is 504406481. The next prime is 504406577. The reversal of 504406512 is 215604405.

504406512 is a `hidden beast` number, since 5 + 0 + 4 + 4 + 0 + 651 + 2 = 666.

It is a super-2 number, since 2×504406512² = 508851858696012288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9517078 + ... + 9517130.

Almost surely, 2^504406512 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 504406512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761500740).

504406512 is an abundant number, since it is smaller than the sum of its proper divisors (1018594968).

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

504406512 is a wasteful number, since it uses less digits than its factorization.

504406512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 504406512 is about 22458.9962375882. The cubic root of 504406512 is about 796.0253436709.

The spelling of 504406512 in words is "five hundred four million, four hundred six thousand, five hundred twelve".