472148302080 has 1152 divisors, whose sum is σ = 1912534106112. Its totient is φ = 96634404864.

The previous prime is 472148302013. The next prime is 472148302123. The reversal of 472148302080 is 80203841274.

472148302080 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2117256849 + ... + 2117257071.

It is an arithmetic number, because the mean of its divisors is an integer number (1660185856).

Almost surely, 2^472148302080 is an apocalyptic number.

472148302080 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 472148302080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956267053056).

472148302080 is an abundant number, since it is smaller than the sum of its proper divisors (1440385804032).

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

472148302080 is a wasteful number, since it uses less digits than its factorization.

472148302080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The spelling of 472148302080 in words is "four hundred seventy-two billion, one hundred forty-eight million, three hundred two thousand, eighty".