472260096000 has 1560 divisors, whose sum is σ = 2140206076320. Its totient is φ = 98131968000.

The previous prime is 472260095971. The next prime is 472260096001. The reversal of 472260096000 is 690062274.

It is a happy number.

472260096000 is a `hidden beast` number, since 47 + 2 + 2 + 6 + 0 + 0 + 9 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (472260096001) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 42932735995 + ... + 42932736005.

It is an arithmetic number, because the mean of its divisors is an integer number (1371926972).

Almost surely, 2^472260096000 is an apocalyptic number.

472260096000 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 472260096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1070103038160).

472260096000 is an abundant number, since it is smaller than the sum of its proper divisors (1667945980320).

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

472260096000 is an frugal number, since it uses more digits than its factorization.

472260096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 472260096000 in words is "four hundred seventy-two billion, two hundred sixty million, ninety-six thousand".