470684160 has 240 divisors, whose sum is σ = 1685249280. Its totient is φ = 121282560.

The previous prime is 470684143. The next prime is 470684171. The reversal of 470684160 is 61486074.

It is a tau number, because it is divible by the number of its divisors (240).

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 23 ways as a sum of consecutive naturals, for example, 713911 + ... + 714569.

It is an arithmetic number, because the mean of its divisors is an integer number (7021872).

Almost surely, 2^470684160 is an apocalyptic number.

470684160 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 470684160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842624640).

470684160 is an abundant number, since it is smaller than the sum of its proper divisors (1214565120).

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

470684160 is a wasteful number, since it uses less digits than its factorization.

470684160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 470684160 is about 21695.2566244329. The cubic root of 470684160 is about 777.8750843033.

Adding to 470684160 its product of nonzero digits (32256), we get a square (470716416 = 21696²).

The spelling of 470684160 in words is "four hundred seventy million, six hundred eighty-four thousand, one hundred sixty".