504400512 has 192 divisors, whose sum is σ = 1700943840. Its totient is φ = 130959360.

The previous prime is 504400487. The next prime is 504400513. The reversal of 504400512 is 215004405.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (504400513) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 205758 + ... + 208194.

Almost surely, 2^504400512 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 504400512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850471920).

504400512 is an abundant number, since it is smaller than the sum of its proper divisors (1196543328).

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

504400512 is a wasteful number, since it uses less digits than its factorization.

504400512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2479 (or 2460 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 504400512 is about 22458.8626604287. The cubic root of 504400512 is about 796.0221873734.

Adding to 504400512 its reverse (215004405), we get a palindrome (719404917).

The spelling of 504400512 in words is "five hundred four million, four hundred thousand, five hundred twelve".