504232400 has 120 divisors (see below), whose sum is σ = 1398969984. Its totient is φ = 171072000.

The previous prime is 504232361. The next prime is 504232423. The reversal of 504232400 is 4232405.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 281909 + ... + 283691.

Almost surely, 2^504232400 is an apocalyptic number.

504232400 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 504232400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699484992).

504232400 is an abundant number, since it is smaller than the sum of its proper divisors (894737584).

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

504232400 is a wasteful number, since it uses less digits than its factorization.

504232400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1909 (or 1898 counting only the distinct ones).

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

The square root of 504232400 is about 22455.1196834931. The cubic root of 504232400 is about 795.9337419492.

Adding to 504232400 its reverse (4232405), we get a palindrome (508464805).

The spelling of 504232400 in words is "five hundred four million, two hundred thirty-two thousand, four hundred".