478752 has 24 divisors (see below), whose sum is σ = 1256976. Its totient is φ = 159552.

The previous prime is 478747. The next prime is 478763. The reversal of 478752 is 257874.

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2398 + ... + 2589.

It is an arithmetic number, because the mean of its divisors is an integer number (52374).

2⁴⁷⁸⁷⁵² is an apocalyptic number.

It is an amenable number.

478752 is an abundant number, since it is smaller than the sum of its proper divisors (778224).

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

478752 is a wasteful number, since it uses less digits than its factorization.

478752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5000 (or 4992 counting only the distinct ones).

The product of its digits is 15680, while the sum is 33.

The square root of 478752 is about 691.9190704121. The cubic root of 478752 is about 78.2294362225.

The spelling of 478752 in words is "four hundred seventy-eight thousand, seven hundred fifty-two".