504735372 has 72 divisors (see below), whose sum is σ = 1397541600. Its totient is φ = 152882688.

The previous prime is 504735353. The next prime is 504735409. The reversal of 504735372 is 273537405.

504735372 is a `hidden beast` number, since 50 + 4 + 73 + 537 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3529 + ... + 31967.

It is an arithmetic number, because the mean of its divisors is an integer number (19410300).

Almost surely, 2^504735372 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 504735372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698770800).

504735372 is an abundant number, since it is smaller than the sum of its proper divisors (892806228).

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

504735372 is a wasteful number, since it uses less digits than its factorization.

504735372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28495 (or 28490 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 36.

The square root of 504735372 is about 22466.3163869825. The cubic root of 504735372 is about 796.1983020669.

The spelling of 504735372 in words is "five hundred four million, seven hundred thirty-five thousand, three hundred seventy-two".