504474720 has 96 divisors (see below), whose sum is σ = 1643937120. Its totient is φ = 129884160.

The previous prime is 504474713. The next prime is 504474727. The reversal of 504474720 is 27474405.

It is an interprime number because it is at equal distance from previous prime (504474713) and next prime (504474727).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504474727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4201 + ... + 32040.

It is an arithmetic number, because the mean of its divisors is an integer number (17124345).

Almost surely, 2^504474720 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 504474720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821968560).

504474720 is an abundant number, since it is smaller than the sum of its proper divisors (1139462400).

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

504474720 is a wasteful number, since it uses less digits than its factorization.

504474720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36288 (or 36280 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 33.

The square root of 504474720 is about 22460.5146868900. The cubic root of 504474720 is about 796.0612227011.

The spelling of 504474720 in words is "five hundred four million, four hundred seventy-four thousand, seven hundred twenty".