470880160 has 24 divisors (see below), whose sum is σ = 1112454756. Its totient is φ = 188352000.

The previous prime is 470880107. The next prime is 470880181. The reversal of 470880160 is 61088074.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 449609616 + 21270544 = 21204^2 + 4612^2 .

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1471341 + ... + 1471660.

Almost surely, 2^470880160 is an apocalyptic number.

470880160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

470880160 is an abundant number, since it is smaller than the sum of its proper divisors (641574596).

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

470880160 is a wasteful number, since it uses less digits than its factorization.

470880160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2943016 (or 2943008 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 470880160 is about 21699.7732707049. The cubic root of 470880160 is about 777.9830423013.

The spelling of 470880160 in words is "four hundred seventy million, eight hundred eighty thousand, one hundred sixty".