478944 has 36 divisors (see below), whose sum is σ = 1362816. Its totient is φ = 159552.

The previous prime is 478943. The next prime is 478963. The reversal of 478944 is 449874.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 478899 and 478908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478943) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 544 + ... + 1119.

It is an arithmetic number, because the mean of its divisors is an integer number (37856).

2⁴⁷⁸⁹⁴⁴ is an apocalyptic number.

It is an amenable number.

478944 is an abundant number, since it is smaller than the sum of its proper divisors (883872).

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

478944 is a wasteful number, since it uses less digits than its factorization.

478944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1679 (or 1668 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 478944 is about 692.0578010542. The cubic root of 478944 is about 78.2398926065.

The spelling of 478944 in words is "four hundred seventy-eight thousand, nine hundred forty-four".