411832980 has 288 divisors, whose sum is σ = 1449302400. Its totient is φ = 93809664.

The previous prime is 411832957. The next prime is 411833027. The reversal of 411832980 is 89238114.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2623062 + ... + 2623218.

It is an arithmetic number, because the mean of its divisors is an integer number (5032300).

Almost surely, 2^411832980 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 411832980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724651200).

411832980 is an abundant number, since it is smaller than the sum of its proper divisors (1037469420).

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

411832980 is a wasteful number, since it uses less digits than its factorization.

411832980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 411832980 is about 20293.6684707324. The cubic root of 411832980 is about 744.0013224049.

The spelling of 411832980 in words is "four hundred eleven million, eight hundred thirty-two thousand, nine hundred eighty".