478760 has 16 divisors (see below), whose sum is σ = 1077300. Its totient is φ = 191488.

The previous prime is 478747. The next prime is 478763. The reversal of 478760 is 67874.

It can be written as a sum of positive squares in 2 ways, for example, as 432964 + 45796 = 658^2 + 214^2 .

It is a super-2 number, since 2×478760² = 458422275200, which contains 22 as substring.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (478763) by changing a digit.

478760 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5945 + ... + 6024.

2⁴⁷⁸⁷⁶⁰ is an apocalyptic number.

478760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

478760 is an abundant number, since it is smaller than the sum of its proper divisors (598540).

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

478760 is a wasteful number, since it uses less digits than its factorization.

478760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11980 (or 11976 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 478760 is about 691.9248514109. The cubic root of 478760 is about 78.2298719610.

The spelling of 478760 in words is "four hundred seventy-eight thousand, seven hundred sixty".