504976032 has 240 divisors, whose sum is σ = 1646568000. Its totient is φ = 150543360.

The previous prime is 504976013. The next prime is 504976039. The reversal of 504976032 is 230679405.

504976032 is a `hidden beast` number, since 5 + 0 + 49 + 7 + 603 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504976039) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2537469 + ... + 2537667.

It is an arithmetic number, because the mean of its divisors is an integer number (6860700).

Almost surely, 2^504976032 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 504976032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823284000).

504976032 is an abundant number, since it is smaller than the sum of its proper divisors (1141591968).

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

504976032 is a wasteful number, since it uses less digits than its factorization.

504976032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 504976032 is about 22471.6717669158. The cubic root of 504976032 is about 796.3248255536.

The spelling of 504976032 in words is "five hundred four million, nine hundred seventy-six thousand, thirty-two".