470760 has 32 divisors (see below), whose sum is σ = 1412640. Its totient is φ = 125504.

The previous prime is 470749. The next prime is 470779. The reversal of 470760 is 67074.

470760 = T₆₆ + T₆₇ + ... + T₁₄₅.

It is a super-2 number, since 2×470760² = 443229955200, which contains 22 as substring.

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 470760.

It is an unprimeable number.

470760 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 7 ways as a sum of consecutive naturals, for example, 1842 + ... + 2081.

It is an arithmetic number, because the mean of its divisors is an integer number (44145).

2⁴⁷⁰⁷⁶⁰ is an apocalyptic number.

470760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

470760 is an abundant number, since it is smaller than the sum of its proper divisors (941880).

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

470760 is a wasteful number, since it uses less digits than its factorization.

470760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3937 (or 3933 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 470760 is about 686.1195231153. The cubic root of 470760 is about 77.7916860993.

The spelling of 470760 in words is "four hundred seventy thousand, seven hundred sixty".