504590880 has 96 divisors (see below), whose sum is σ = 1593442368. Its totient is φ = 134220800.

The previous prime is 504590851. The next prime is 504590881. The reversal of 504590880 is 88095405.

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

It is a super-2 number, since 2×504590880² = 509223912358348800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (504590881) 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, 234610 + ... + 236750.

It is an arithmetic number, because the mean of its divisors is an integer number (16598358).

Almost surely, 2^504590880 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 504590880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796721184).

504590880 is an abundant number, since it is smaller than the sum of its proper divisors (1088851488).

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

504590880 is a wasteful number, since it uses less digits than its factorization.

504590880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2650 (or 2642 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The square root of 504590880 is about 22463.1004093380. The cubic root of 504590880 is about 796.1223181809.

The spelling of 504590880 in words is "five hundred four million, five hundred ninety thousand, eight hundred eighty".