504606720 has 208 divisors, whose sum is σ = 1660741632. Its totient is φ = 130744320.

The previous prime is 504606719. The next prime is 504606749. The reversal of 504606720 is 27606405.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2641825 + ... + 2642015.

Almost surely, 2^504606720 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 504606720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830370816).

504606720 is an abundant number, since it is smaller than the sum of its proper divisors (1156134912).

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

504606720 is a wasteful number, since it uses less digits than its factorization.

504606720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 504606720 is about 22463.4529847929. The cubic root of 504606720 is about 796.1306486562.

The spelling of 504606720 in words is "five hundred four million, six hundred six thousand, seven hundred twenty".