471456864 has 72 divisors (see below), whose sum is σ = 1350465480. Its totient is φ = 156008448.

The previous prime is 471456847. The next prime is 471456913. The reversal of 471456864 is 468654174.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×471456864² = 444543149225428992, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34144 + ... + 45920.

It is an arithmetic number, because the mean of its divisors is an integer number (18756465).

Almost surely, 2^471456864 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 471456864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675232740).

471456864 is an abundant number, since it is smaller than the sum of its proper divisors (879008616).

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

471456864 is a wasteful number, since it uses less digits than its factorization.

471456864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11932 (or 11921 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 471456864 is about 21713.0574539838. The cubic root of 471456864 is about 778.3005207379.

The spelling of 471456864 in words is "four hundred seventy-one million, four hundred fifty-six thousand, eight hundred sixty-four".