411383280 has 320 divisors, whose sum is σ = 1612182528. Its totient is φ = 84295680.

The previous prime is 411383261. The next prime is 411383293. The reversal of 411383280 is 82383114.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2088142 + ... + 2088338.

Almost surely, 2^411383280 is an apocalyptic number.

411383280 is a gapful number since it is divisible by the number (40) 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 411383280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806091264).

411383280 is an abundant number, since it is smaller than the sum of its proper divisors (1200799248).

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

411383280 is a wasteful number, since it uses less digits than its factorization.

411383280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 411383280 is about 20282.5856339866. The cubic root of 411383280 is about 743.7304203117.

The spelling of 411383280 in words is "four hundred eleven million, three hundred eighty-three thousand, two hundred eighty".