504000 has 168 divisors, whose sum is σ = 2060448. Its totient is φ = 115200.

The previous prime is 503989. The next prime is 504001. The reversal of 504000 is 405.

504000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (504001) by changing a digit.

504000 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71997 + ... + 72003.

2⁵⁰⁴⁰⁰⁰ is an apocalyptic number.

504000 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 504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030224).

504000 is an abundant number, since it is smaller than the sum of its proper divisors (1556448).

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

504000 is a wasteful number, since it uses less digits than its factorization.

504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 9.

The square root of 504000 is about 709.9295739720. The cubic root of 504000 is about 79.5811441579.

504000 divided by its product of nonzero digits (20) gives a triangular number (25200 = T₂₂₄).

Adding to 504000 its reverse (405), we get a palindrome (504405).

The spelling of 504000 in words is "five hundred four thousand".