504788480 has 160 divisors (see below), whose sum is σ = 1465459776. Its totient is φ = 162791424.

The previous prime is 504788467. The next prime is 504788527. The reversal of 504788480 is 84887405.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×504788480² = 509622819081420800, which contains 22 as substring.

It is a congruent number.

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, 303812 + ... + 305468.

Almost surely, 2^504788480 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 504788480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732729888).

504788480 is an abundant number, since it is smaller than the sum of its proper divisors (960671296).

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

504788480 is a wasteful number, since it uses less digits than its factorization.

504788480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1704 (or 1688 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 44.

The square root of 504788480 is about 22467.4983031044. The cubic root of 504788480 is about 796.2262262814.

The spelling of 504788480 in words is "five hundred four million, seven hundred eighty-eight thousand, four hundred eighty".