413028 has 72 divisors (see below), whose sum is σ = 1310400. Its totient is φ = 106560.

The previous prime is 413027. The next prime is 413033. The reversal of 413028 is 820314.

It is a happy number.

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

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 413028.

It is not an unprimeable number, because it can be changed into a prime (413027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2698 + ... + 2846.

It is an arithmetic number, because the mean of its divisors is an integer number (18200).

2⁴¹³⁰²⁸ 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 413028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655200).

413028 is an abundant number, since it is smaller than the sum of its proper divisors (897372).

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

413028 is a wasteful number, since it uses less digits than its factorization.

413028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 413028 is about 642.6725449247. The cubic root of 413028 is about 74.4720252910.

The spelling of 413028 in words is "four hundred thirteen thousand, twenty-eight".