472236492800 has 108 divisors (see below), whose sum is σ = 1171246236615. Its totient is φ = 188832399360.

The previous prime is 472236492661. The next prime is 472236492803. The reversal of 472236492800 is 8294632274.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 345819268096 + 126417224704 = 588064^2 + 355552^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=485920.

It is not an unprimeable number, because it can be changed into a prime (472236492803) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 155492882 + ... + 155495918.

Almost surely, 2^472236492800 is an apocalyptic number.

472236492800 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 472236492800

472236492800 is an abundant number, since it is smaller than the sum of its proper divisors (699009743815).

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

472236492800 is an frugal number, since it uses more digits than its factorization.

472236492800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6106 (or 3044 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 47.

The spelling of 472236492800 in words is "four hundred seventy-two billion, two hundred thirty-six million, four hundred ninety-two thousand, eight hundred".