471856320 has 224 divisors, whose sum is σ = 1793077440. Its totient is φ = 116121600.

The previous prime is 471856291. The next prime is 471856381. The reversal of 471856320 is 23658174.

471856320 is a `hidden beast` number, since 4 + 7 + 18 + 5 + 632 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110220 + ... + 114420.

It is an arithmetic number, because the mean of its divisors is an integer number (8004810).

Almost surely, 2^471856320 is an apocalyptic number.

471856320 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 471856320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896538720).

471856320 is an abundant number, since it is smaller than the sum of its proper divisors (1321221120).

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

471856320 is a wasteful number, since it uses less digits than its factorization.

471856320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4240 (or 4224 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 471856320 is about 21722.2540266889. The cubic root of 471856320 is about 778.5202715234.

The spelling of 471856320 in words is "four hundred seventy-one million, eight hundred fifty-six thousand, three hundred twenty".