504739872 has 144 divisors (see below), whose sum is σ = 1766681280. Its totient is φ = 133111296.

The previous prime is 504739813. The next prime is 504739897. The reversal of 504739872 is 278937405.

504739872 is a `hidden beast` number, since 504 + 73 + 9 + 8 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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, 16579 + ... + 35837.

It is an arithmetic number, because the mean of its divisors is an integer number (12268620).

Almost surely, 2^504739872 is an apocalyptic number.

504739872 is a gapful number since it is divisible by the number (52) 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 504739872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883340640).

504739872 is an abundant number, since it is smaller than the sum of its proper divisors (1261941408).

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

504739872 is a wasteful number, since it uses less digits than its factorization.

504739872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19295 (or 19284 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 504739872 is about 22466.4165366887. The cubic root of 504739872 is about 796.2006682452.

The spelling of 504739872 in words is "five hundred four million, seven hundred thirty-nine thousand, eight hundred seventy-two".