472895457120 has 288 divisors, whose sum is σ = 1680559695360. Its totient is φ = 125575349760.

The previous prime is 472895457107. The next prime is 472895457157. The reversal of 472895457120 is 21754598274.

472895457120 is a `hidden beast` number, since 4 + 7 + 2 + 8 + 9 + 545 + 71 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×472895457120² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9266875 + ... + 9317765.

It is an arithmetic number, because the mean of its divisors is an integer number (5835276720).

Almost surely, 2^472895457120 is an apocalyptic number.

472895457120 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 472895457120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840279847680).

472895457120 is an abundant number, since it is smaller than the sum of its proper divisors (1207664238240).

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

472895457120 is a wasteful number, since it uses less digits than its factorization.

472895457120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51160 (or 51140 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 472895457120 in words is "four hundred seventy-two billion, eight hundred ninety-five million, four hundred fifty-seven thousand, one hundred twenty".