478960 has 20 divisors (see below), whose sum is σ = 1113768. Its totient is φ = 191552.

The previous prime is 478943. The next prime is 478963. The reversal of 478960 is 69874.

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478963) by changing a digit.

478960 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 3 ways as a sum of consecutive naturals, for example, 2914 + ... + 3073.

2⁴⁷⁸⁹⁶⁰ is an apocalyptic number.

478960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

478960 is an abundant number, since it is smaller than the sum of its proper divisors (634808).

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

478960 is a wasteful number, since it uses less digits than its factorization.

478960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6000 (or 5994 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 478960 is about 692.0693606858. The cubic root of 478960 is about 78.2407638457.

The spelling of 478960 in words is "four hundred seventy-eight thousand, nine hundred sixty".