475200665104 has 45 divisors (see below), whose sum is σ = 1012075106511. Its totient is φ = 215986515360.

The previous prime is 475200665087. The next prime is 475200665123. The reversal of 475200665104 is 401566002574.

It is a happy number.

The square root of 475200665104 is 689348.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 30323479 + ... + 30339145.

Almost surely, 2^475200665104 is an apocalyptic number.

475200665104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

475200665104 is the 689348-th square number.

It is an amenable number.

475200665104 is an abundant number, since it is smaller than the sum of its proper divisors (536874441407).

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

475200665104 is an frugal number, since it uses more digits than its factorization.

475200665104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31364 (or 15680 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

Adding to 475200665104 its reverse (401566002574), we get a palindrome (876766667678).

The spelling of 475200665104 in words is "four hundred seventy-five billion, two hundred million, six hundred sixty-five thousand, one hundred four".