475859498400 has 1728 divisors, whose sum is σ = 2157107936256. Its totient is φ = 96878592000.

The previous prime is 475859498333. The next prime is 475859498423. The reversal of 475859498400 is 4894958574.

475859498400 is a `hidden beast` number, since 4 + 7 + 58 + 5 + 94 + 98 + 400 = 666.

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 287 ways as a sum of consecutive naturals, for example, 542598762 + ... + 542599638.

It is an arithmetic number, because the mean of its divisors is an integer number (1248326352).

Almost surely, 2^475859498400 is an apocalyptic number.

475859498400 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 475859498400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078553968128).

475859498400 is an abundant number, since it is smaller than the sum of its proper divisors (1681248437856).

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

475859498400 is a wasteful number, since it uses less digits than its factorization.

475859498400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 475859498400 in words is "four hundred seventy-five billion, eight hundred fifty-nine million, four hundred ninety-eight thousand, four hundred".