471918720 has 512 divisors, whose sum is σ = 1927457280. Its totient is φ = 95551488.

The previous prime is 471918719. The next prime is 471918737. The reversal of 471918720 is 27819174.

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 63 ways as a sum of consecutive naturals, for example, 6464604 + ... + 6464676.

It is an arithmetic number, because the mean of its divisors is an integer number (3764565).

Almost surely, 2^471918720 is an apocalyptic number.

471918720 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 471918720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963728640).

471918720 is an abundant number, since it is smaller than the sum of its proper divisors (1455538560).

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

471918720 is a wasteful number, since it uses less digits than its factorization.

471918720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 39.

The square root of 471918720 is about 21723.6902942387. The cubic root of 471918720 is about 778.5545881304.

The spelling of 471918720 in words is "four hundred seventy-one million, nine hundred eighteen thousand, seven hundred twenty".