470164176 has 140 divisors (see below), whose sum is σ = 1379580228. Its totient is φ = 155146752.

The previous prime is 470164169. The next prime is 470164199. The reversal of 470164176 is 671461074.

470164176 is a `hidden beast` number, since 4 + 7 + 0 + 1 + 641 + 7 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 273042576 + 197121600 = 16524^2 + 14040^2 .

It is a super-3 number, since 3×470164176³ (a number of 27 digits) contains 333 as substring.

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

It is a zygodrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 470164176.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2017756 + ... + 2017988.

Almost surely, 2^470164176 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 470164176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689790114).

470164176 is an abundant number, since it is smaller than the sum of its proper divisors (909416052).

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

470164176 is a wasteful number, since it uses less digits than its factorization.

470164176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 470164176 is about 21683.2694951661. The cubic root of 470164176 is about 777.5885286374.

The spelling of 470164176 in words is "four hundred seventy million, one hundred sixty-four thousand, one hundred seventy-six".