475825794400 has 72 divisors (see below), whose sum is σ = 1267210627704. Its totient is φ = 173027558400.

The previous prime is 475825794371. The next prime is 475825794401. The reversal of 475825794400 is 4497528574.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475825794401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27026757 + ... + 27044356.

It is an arithmetic number, because the mean of its divisors is an integer number (17600147607).

Almost surely, 2^475825794400 is an apocalyptic number.

475825794400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

475825794400 is an abundant number, since it is smaller than the sum of its proper divisors (791384833304).

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

475825794400 is a wasteful number, since it uses less digits than its factorization.

475825794400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54071144 (or 54071131 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 55.

The spelling of 475825794400 in words is "four hundred seventy-five billion, eight hundred twenty-five million, seven hundred ninety-four thousand, four hundred".