412128 has 72 divisors (see below), whose sum is σ = 1238328. Its totient is φ = 134784.

The previous prime is 412127. The next prime is 412133. The reversal of 412128 is 821214.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a self number, because there is not a number n which added to its sum of digits gives 412128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7750 + ... + 7802.

It is an arithmetic number, because the mean of its divisors is an integer number (17199).

2⁴¹²¹²⁸ is an apocalyptic number.

412128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619164).

412128 is an abundant number, since it is smaller than the sum of its proper divisors (826200).

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

412128 is an equidigital number, since it uses as much as digits as its factorization.

412128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 58 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 412128 is about 641.9719620046. The cubic root of 412128 is about 74.4178937190.

The spelling of 412128 in words is "four hundred twelve thousand, one hundred twenty-eight".