411982144 has 56 divisors (see below), whose sum is σ = 952000128. Its totient is φ = 173222400.

The previous prime is 411982139. The next prime is 411982147. The reversal of 411982144 is 441289114.

It is a tau number, because it is divible by the number of its divisors (56).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411982147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15069 + ... + 32419.

Almost surely, 2^411982144 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 411982144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476000064).

411982144 is an abundant number, since it is smaller than the sum of its proper divisors (540017984).

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

411982144 is a wasteful number, since it uses less digits than its factorization.

411982144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17423 (or 17413 counting only the distinct ones).

The product of its digits is 9216, while the sum is 34.

The square root of 411982144 is about 20297.3432744288. The cubic root of 411982144 is about 744.0911361746.

The spelling of 411982144 in words is "four hundred eleven million, nine hundred eighty-two thousand, one hundred forty-four".