504676480 has 384 divisors, whose sum is σ = 1627920000. Its totient is φ = 149022720.

The previous prime is 504676477. The next prime is 504676481. The reversal of 504676480 is 84676405.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504676481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26561911 + ... + 26561929.

It is an arithmetic number, because the mean of its divisors is an integer number (4239375).

Almost surely, 2^504676480 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 504676480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813960000).

504676480 is an abundant number, since it is smaller than the sum of its proper divisors (1123243520).

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

504676480 is a wasteful number, since it uses less digits than its factorization.

504676480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The square root of 504676480 is about 22465.0056754945. The cubic root of 504676480 is about 796.1673343315.

The spelling of 504676480 in words is "five hundred four million, six hundred seventy-six thousand, four hundred eighty".