471880564272 has 240 divisors, whose sum is σ = 1477902729600. Its totient is φ = 144082748160.

The previous prime is 471880564237. The next prime is 471880564277. The reversal of 471880564272 is 272465088174.

471880564272 is a `hidden beast` number, since 4 + 7 + 1 + 8 + 8 + 0 + 564 + 2 + 72 = 666.

It is a super-2 number, since 2×471880564272² (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 not an unprimeable number, because it can be changed into a prime (471880564277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9539379 + ... + 9588717.

It is an arithmetic number, because the mean of its divisors is an integer number (6157928040).

Almost surely, 2^471880564272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 471880564272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738951364800).

471880564272 is an abundant number, since it is smaller than the sum of its proper divisors (1006022165328).

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

471880564272 is a wasteful number, since it uses less digits than its factorization.

471880564272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49513 (or 49488 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 471880564272 in words is "four hundred seventy-one billion, eight hundred eighty million, five hundred sixty-four thousand, two hundred seventy-two".