504907920 has 240 divisors, whose sum is σ = 1900896192. Its totient is φ = 119024640.

The previous prime is 504907867. The next prime is 504907961. The reversal of 504907920 is 29709405.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 292179 + ... + 293901.

Almost surely, 2^504907920 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 504907920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950448096).

504907920 is an abundant number, since it is smaller than the sum of its proper divisors (1395988272).

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

504907920 is a wasteful number, since it uses less digits than its factorization.

504907920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1790 (or 1781 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 504907920 is about 22470.1562077347. The cubic root of 504907920 is about 796.2890207418.

The spelling of 504907920 in words is "five hundred four million, nine hundred seven thousand, nine hundred twenty".