504400 has 60 divisors (see below), whose sum is σ = 1318492. Its totient is φ = 184320.

The previous prime is 504389. The next prime is 504403. The reversal of 504400 is 4405.

It can be written as a sum of positive squares in 6 ways, for example, as 63504 + 440896 = 252^2 + 664^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5152 + ... + 5248.

2⁵⁰⁴⁴⁰⁰ is an apocalyptic number.

504400 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 504400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659246).

504400 is an abundant number, since it is smaller than the sum of its proper divisors (814092).

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

504400 is a wasteful number, since it uses less digits than its factorization.

504400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 504400 is about 710.2112361826. The cubic root of 504400 is about 79.6021918035.

Adding to 504400 its reverse (4405), we get a palindrome (508805).

The spelling of 504400 in words is "five hundred four thousand, four hundred".