478144 has 28 divisors (see below), whose sum is σ = 983488. Its totient is φ = 230400.

The previous prime is 478139. The next prime is 478157. The reversal of 478144 is 441874.

It is a congruent number.

It is an unprimeable number.

478144 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, 1864 + ... + 2104.

2⁴⁷⁸¹⁴⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 478144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491744).

478144 is an abundant number, since it is smaller than the sum of its proper divisors (505344).

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

478144 is a wasteful number, since it uses less digits than its factorization.

478144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 274 counting only the distinct ones).

The product of its digits is 3584, while the sum is 28.

The square root of 478144 is about 691.4795730895. The cubic root of 478144 is about 78.1963058849.

The spelling of 478144 in words is "four hundred seventy-eight thousand, one hundred forty-four".