478128 has 40 divisors (see below), whose sum is σ = 1412608. Its totient is φ = 136512.

The previous prime is 478111. The next prime is 478129. The reversal of 478128 is 821874.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 478095 and 478104.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 478128.

It is not an unprimeable number, because it can be changed into a prime (478129) by changing a digit.

478128 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 7 ways as a sum of consecutive naturals, for example, 376 + ... + 1047.

2⁴⁷⁸¹²⁸ is an apocalyptic number.

478128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

478128 is an abundant number, since it is smaller than the sum of its proper divisors (934480).

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

478128 is a wasteful number, since it uses less digits than its factorization.

478128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1441 (or 1435 counting only the distinct ones).

The product of its digits is 3584, while the sum is 30.

The square root of 478128 is about 691.4680035981. The cubic root of 478128 is about 78.1954336547.

It can be divided in two parts, 478 and 128, that added together give a palindrome (606).

The spelling of 478128 in words is "four hundred seventy-eight thousand, one hundred twenty-eight".