504748800 has 432 divisors, whose sum is σ = 1946542080. Its totient is φ = 127733760.

The previous prime is 504748781. The next prime is 504748817. The reversal of 504748800 is 8847405.

504748800 is a `hidden beast` number, since 504 + 74 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×504748800² = 509542702202880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 3974337 + ... + 3974463.

Almost surely, 2^504748800 is an apocalyptic number.

504748800 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 504748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973271040).

504748800 is an abundant number, since it is smaller than the sum of its proper divisors (1441793280).

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

504748800 is a wasteful number, since it uses less digits than its factorization.

504748800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 504748800 is about 22466.6152323842. The cubic root of 504748800 is about 796.2053627014.

The spelling of 504748800 in words is "five hundred four million, seven hundred forty-eight thousand, eight hundred".