471612672 has 216 divisors, whose sum is σ = 1461378240. Its totient is φ = 149990400.

The previous prime is 471612653. The next prime is 471612679. The reversal of 471612672 is 276216174.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (471612679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6642397 + ... + 6642467.

It is an arithmetic number, because the mean of its divisors is an integer number (6765640).

Almost surely, 2^471612672 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 471612672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730689120).

471612672 is an abundant number, since it is smaller than the sum of its proper divisors (989765568).

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

471612672 is an equidigital number, since it uses as much as digits as its factorization.

471612672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 107 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 471612672 is about 21716.6450447577. The cubic root of 471612672 is about 778.3862493949.

The spelling of 471612672 in words is "four hundred seventy-one million, six hundred twelve thousand, six hundred seventy-two".