504322400 has 108 divisors (see below), whose sum is σ = 1262567628. Its totient is φ = 196669440.

The previous prime is 504322397. The next prime is 504322409. The reversal of 504322400 is 4223405.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504322409) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5199152 + ... + 5199248.

It is an arithmetic number, because the mean of its divisors is an integer number (11690441).

Almost surely, 2^504322400 is an apocalyptic number.

504322400 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 504322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631283814).

504322400 is an abundant number, since it is smaller than the sum of its proper divisors (758245228).

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

504322400 is an equidigital number, since it uses as much as digits as its factorization.

504322400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 504322400 is about 22457.1235914130. The cubic root of 504322400 is about 795.9810943045.

Adding to 504322400 its reverse (4223405), we get a palindrome (508545805).

The spelling of 504322400 in words is "five hundred four million, three hundred twenty-two thousand, four hundred".