504358400 has 240 divisors, whose sum is σ = 1541505504. Its totient is φ = 159252480.

The previous prime is 504358399. The next prime is 504358411. The reversal of 504358400 is 4853405.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1164584 + ... + 1165016.

Almost surely, 2^504358400 is an apocalyptic number.

504358400 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 504358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770752752).

504358400 is an abundant number, since it is smaller than the sum of its proper divisors (1037147104).

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

504358400 is a wasteful number, since it uses less digits than its factorization.

504358400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The square root of 504358400 is about 22457.9251045149. The cubic root of 504358400 is about 796.0000336692. Note that the first 4 decimals are identical.

It can be divided in two parts, 504 and 358400, that multiplied together give a square (180633600 = 13440²).

The spelling of 504358400 in words is "five hundred four million, three hundred fifty-eight thousand, four hundred".