504940400 has 120 divisors (see below), whose sum is σ = 1282727424. Its totient is φ = 190713600.

The previous prime is 504940393. The next prime is 504940433. The reversal of 504940400 is 4049405.

It is a self number, because there is not a number n which added to its sum of digits gives 504940400.

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, 532727 + ... + 533673.

Almost surely, 2^504940400 is an apocalyptic number.

504940400 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 504940400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641363712).

504940400 is an abundant number, since it is smaller than the sum of its proper divisors (777787024).

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

504940400 is a wasteful number, since it uses less digits than its factorization.

504940400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1039 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 504940400 is about 22470.8789325206. The cubic root of 504940400 is about 796.3060950847.

Adding to 504940400 its reverse (4049405), we get a palindrome (508989805).

The spelling of 504940400 in words is "five hundred four million, nine hundred forty thousand, four hundred".