504472082400 has 2016 divisors, whose sum is σ = 2272201569792. Its totient is φ = 107570073600.

The previous prime is 504472082353. The next prime is 504472082629. The reversal of 504472082400 is 4280274405.

504472082400 is a `hidden beast` number, since 5 + 0 + 4 + 47 + 208 + 2 + 400 = 666.

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 polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 1918144669 + ... + 1918144931.

It is an arithmetic number, because the mean of its divisors is an integer number (1127084112).

Almost surely, 2^504472082400 is an apocalyptic number.

504472082400 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 504472082400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1136100784896).

504472082400 is an abundant number, since it is smaller than the sum of its proper divisors (1767729487392).

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

504472082400 is a wasteful number, since it uses less digits than its factorization.

504472082400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The spelling of 504472082400 in words is "five hundred four billion, four hundred seventy-two million, eighty-two thousand, four hundred".