470510160 has 80 divisors (see below), whose sum is σ = 1467989376. Its totient is φ = 124660224.

The previous prime is 470510147. The next prime is 470510213. The reversal of 470510160 is 61015074.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 470510160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31437 + ... + 43923.

Almost surely, 2^470510160 is an apocalyptic number.

470510160 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 470510160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733994688).

470510160 is an abundant number, since it is smaller than the sum of its proper divisors (997479216).

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

470510160 is a wasteful number, since it uses less digits than its factorization.

470510160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12660 (or 12654 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 470510160 is about 21691.2461606059. The cubic root of 470510160 is about 777.7792189240.

The spelling of 470510160 in words is "four hundred seventy million, five hundred ten thousand, one hundred sixty".