414128 has 40 divisors (see below), whose sum is σ = 947856. Its totient is φ = 172800.

The previous prime is 414109. The next prime is 414131. The reversal of 414128 is 821414.

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

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2198 + ... + 2378.

2⁴¹⁴¹²⁸ 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 414128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473928).

414128 is an abundant number, since it is smaller than the sum of its proper divisors (533728).

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

414128 is a wasteful number, since it uses less digits than its factorization.

414128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 207 counting only the distinct ones).

The product of its digits is 256, while the sum is 20.

The square root of 414128 is about 643.5277771783. The cubic root of 414128 is about 74.5380794175.

The spelling of 414128 in words is "four hundred fourteen thousand, one hundred twenty-eight".