411941376 has 480 divisors, whose sum is σ = 1572899328. Its totient is φ = 104509440.

The previous prime is 411941353. The next prime is 411941389. The reversal of 411941376 is 673149114.

411941376 = 30³ + 31³ + ... + 201³.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 411941376.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 9580011 + ... + 9580053.

Almost surely, 2^411941376 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 411941376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786449664).

411941376 is an abundant number, since it is smaller than the sum of its proper divisors (1160957952).

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

411941376 is an equidigital number, since it uses as much as digits as its factorization.

411941376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 66 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 411941376 is about 20296.3389802201. The cubic root of 411941376 is about 744.0665913341.

The spelling of 411941376 in words is "four hundred eleven million, nine hundred forty-one thousand, three hundred seventy-six".