504312480 has 576 divisors, whose sum is σ = 2179457280. Its totient is φ = 107495424.

The previous prime is 504312461. The next prime is 504312499. The reversal of 504312480 is 84213405.

It is an interprime number because it is at equal distance from previous prime (504312461) and next prime (504312499).

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 (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4626666 + ... + 4626774.

It is an arithmetic number, because the mean of its divisors is an integer number (3783780).

Almost surely, 2^504312480 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 504312480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1089728640).

504312480 is an abundant number, since it is smaller than the sum of its proper divisors (1675144800).

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

504312480 is a wasteful number, since it uses less digits than its factorization.

504312480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 504312480 is about 22456.9027249975. The cubic root of 504312480 is about 795.9758752989.

Adding to 504312480 its reverse (84213405), we get a palindrome (588525885).

The spelling of 504312480 in words is "five hundred four million, three hundred twelve thousand, four hundred eighty".