415128 has 48 divisors (see below), whose sum is σ = 1210680. Its totient is φ = 118272.

The previous prime is 415111. The next prime is 415133. The reversal of 415128 is 821514.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

415128 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 11 ways as a sum of consecutive naturals, for example, 1000 + ... + 1352.

2⁴¹⁵¹²⁸ 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 415128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605340).

415128 is an abundant number, since it is smaller than the sum of its proper divisors (795552).

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

415128 is a wasteful number, since it uses less digits than its factorization.

415128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 365 counting only the distinct ones).

The product of its digits is 320, while the sum is 21.

The square root of 415128 is about 644.3042759442. The cubic root of 415128 is about 74.5980271983.

The spelling of 415128 in words is "four hundred fifteen thousand, one hundred twenty-eight".