411238128 has 160 divisors (see below), whose sum is σ = 1313328640. Its totient is φ = 108241920.

The previous prime is 411238103. The next prime is 411238141. The reversal of 411238128 is 821832114.

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 = 411238095 and 411238104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 235338 + ... + 237078.

It is an arithmetic number, because the mean of its divisors is an integer number (8208304).

Almost surely, 2^411238128 is an apocalyptic number.

411238128 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 411238128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656664320).

411238128 is an abundant number, since it is smaller than the sum of its proper divisors (902090512).

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

411238128 is a wasteful number, since it uses less digits than its factorization.

411238128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1815 (or 1809 counting only the distinct ones).

The product of its digits is 3072, while the sum is 30.

The square root of 411238128 is about 20279.0070762846. The cubic root of 411238128 is about 743.6429376951.

The spelling of 411238128 in words is "four hundred eleven million, two hundred thirty-eight thousand, one hundred twenty-eight".