504070560 has 384 divisors, whose sum is σ = 2051481600. Its totient is φ = 113218560.

The previous prime is 504070549. The next prime is 504070579. The reversal of 504070560 is 65070405.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2388855 + ... + 2389065.

It is an arithmetic number, because the mean of its divisors is an integer number (5342400).

Almost surely, 2^504070560 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 504070560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025740800).

504070560 is an abundant number, since it is smaller than the sum of its proper divisors (1547411040).

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

504070560 is a wasteful number, since it uses less digits than its factorization.

504070560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 504070560 is about 22451.5157617476. The cubic root of 504070560 is about 795.8485777136.

The spelling of 504070560 in words is "five hundred four million, seventy thousand, five hundred sixty".