411328512 has 168 divisors, whose sum is σ = 1359657936. Its totient is φ = 117374976.

The previous prime is 411328453. The next prime is 411328591. The reversal of 411328512 is 215823114.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×411328512² = 338382289568268288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 515698 + ... + 516494.

It is an arithmetic number, because the mean of its divisors is an integer number (8093202).

Almost surely, 2^411328512 is an apocalyptic number.

411328512 is a gapful number since it is divisible by the number (42) 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 411328512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679828968).

411328512 is an abundant number, since it is smaller than the sum of its proper divisors (948329424).

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

411328512 is an equidigital number, since it uses as much as digits as its factorization.

411328512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 809 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 411328512 is about 20281.2354653261. The cubic root of 411328512 is about 743.6974142422.

The spelling of 411328512 in words is "four hundred eleven million, three hundred twenty-eight thousand, five hundred twelve".