504196400 has 120 divisors (see below), whose sum is σ = 1269811584. Its totient is φ = 192153600.

The previous prime is 504196361. The next prime is 504196403. The reversal of 504196400 is 4691405.

It is not an unprimeable number, because it can be changed into a prime (504196403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 904922 + ... + 905478.

Almost surely, 2^504196400 is an apocalyptic number.

504196400 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 504196400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634905792).

504196400 is an abundant number, since it is smaller than the sum of its proper divisors (765615184).

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

504196400 is a wasteful number, since it uses less digits than its factorization.

504196400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 504196400 is about 22454.3180702510. The cubic root of 504196400 is about 795.9147994294.

The spelling of 504196400 in words is "five hundred four million, one hundred ninety-six thousand, four hundred".