504552812400 has 2880 divisors, whose sum is σ = 2479752714240. Its totient is φ = 94887936000.

The previous prime is 504552812381. The next prime is 504552812411. The reversal of 504552812400 is 4218255405.

504552812400 is a `hidden beast` number, since 5 + 0 + 4 + 5 + 528 + 124 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 4995572350 + ... + 4995572450.

It is an arithmetic number, because the mean of its divisors is an integer number (861025248).

Almost surely, 2^504552812400 is an apocalyptic number.

504552812400 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 504552812400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239876357120).

504552812400 is an abundant number, since it is smaller than the sum of its proper divisors (1975199901840).

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

504552812400 is a wasteful number, since it uses less digits than its factorization.

504552812400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The spelling of 504552812400 in words is "five hundred four billion, five hundred fifty-two million, eight hundred twelve thousand, four hundred".