475364492800 has 120 divisors (see below), whose sum is σ = 1178467765200. Its totient is φ = 190030356480.

The previous prime is 475364492783. The next prime is 475364492831. The reversal of 475364492800 is 8294463574.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22888821 + ... + 22909579.

It is an arithmetic number, because the mean of its divisors is an integer number (9820564710).

Almost surely, 2^475364492800 is an apocalyptic number.

475364492800 is a gapful number since it is divisible by the number (40) 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 475364492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589233882600).

475364492800 is an abundant number, since it is smaller than the sum of its proper divisors (703103272400).

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

475364492800 is a wasteful number, since it uses less digits than its factorization.

475364492800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22576 (or 22555 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 52.

The spelling of 475364492800 in words is "four hundred seventy-five billion, three hundred sixty-four million, four hundred ninety-two thousand, eight hundred".