470331680 has 96 divisors (see below), whose sum is σ = 1367622144. Its totient is φ = 148847616.

The previous prime is 470331671. The next prime is 470331683. The reversal of 470331680 is 86133074.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (470331683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1592 + ... + 30711.

It is an arithmetic number, because the mean of its divisors is an integer number (14246064).

Almost surely, 2^470331680 is an apocalyptic number.

470331680 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 470331680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683811072).

470331680 is an abundant number, since it is smaller than the sum of its proper divisors (897290464).

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

470331680 is a wasteful number, since it uses less digits than its factorization.

470331680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32338 (or 32330 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 470331680 is about 21687.1316683419. The cubic root of 470331680 is about 777.6808607281.

The spelling of 470331680 in words is "four hundred seventy million, three hundred thirty-one thousand, six hundred eighty".