504315400 has 48 divisors (see below), whose sum is σ = 1180075140. Its totient is φ = 200428800.

The previous prime is 504315397. The next prime is 504315403. The reversal of 504315400 is 4513405.

It is an interprime number because it is at equal distance from previous prime (504315397) and next prime (504315403).

It can be written as a sum of positive squares in 6 ways, for example, as 18818244 + 485497156 = 4338^2 + 22034^2 .

It is not an unprimeable number, because it can be changed into a prime (504315403) 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, 23370 + ... + 39430.

Almost surely, 2^504315400 is an apocalyptic number.

504315400 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 504315400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590037570).

504315400 is an abundant number, since it is smaller than the sum of its proper divisors (675759740).

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

504315400 is a wasteful number, since it uses less digits than its factorization.

504315400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16234 (or 16225 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 504315400 is about 22456.9677383212. The cubic root of 504315400 is about 795.9774115456.

Adding to 504315400 its reverse (4513405), we get a palindrome (508828805).

The spelling of 504315400 in words is "five hundred four million, three hundred fifteen thousand, four hundred".