475346754400 has 72 divisors (see below), whose sum is σ = 1326217460400. Its totient is φ = 162976028160.

The previous prime is 475346754383. The next prime is 475346754437. The reversal of 475346754400 is 4457643574.

It is a super-2 number, since 2×475346754400² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42436075 + ... + 42447274.

It is an arithmetic number, because the mean of its divisors is an integer number (18419686950).

Almost surely, 2^475346754400 is an apocalyptic number.

475346754400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

475346754400 is an abundant number, since it is smaller than the sum of its proper divisors (850870706000).

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

475346754400 is a wasteful number, since it uses less digits than its factorization.

475346754400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84883376 (or 84883363 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 49.

The spelling of 475346754400 in words is "four hundred seventy-five billion, three hundred forty-six million, seven hundred fifty-four thousand, four hundred".