504080000 has 80 divisors (see below), whose sum is σ = 1255074810. Its totient is φ = 201600000.

The previous prime is 504079993. The next prime is 504080023. The reversal of 504080000 is 80405.

It can be written as a sum of positive squares in 5 ways, for example, as 14077504 + 490002496 = 3752^2 + 22136^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 76850 + ... + 83150.

Almost surely, 2^504080000 is an apocalyptic number.

504080000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 504080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627537405).

504080000 is an abundant number, since it is smaller than the sum of its proper divisors (750994810).

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

504080000 is an frugal number, since it uses more digits than its factorization.

504080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6335 (or 6308 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 504080000 is about 22451.7259915580. The cubic root of 504080000 is about 795.8535457771.

The spelling of 504080000 in words is "five hundred four million, eighty thousand".