411980800 has 396 divisors, whose sum is σ = 1350364960. Its totient is φ = 121651200.

The previous prime is 411980773. The next prime is 411980831. The reversal of 411980800 is 8089114.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21683191 + ... + 21683209.

Almost surely, 2^411980800 is an apocalyptic number.

411980800 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 411980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675182480).

411980800 is an abundant number, since it is smaller than the sum of its proper divisors (938384160).

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

411980800 is a wasteful number, since it uses less digits than its factorization.

411980800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 31.

The square root of 411980800 is about 20297.3101666206. The cubic root of 411980800 is about 744.0903270299.

The spelling of 411980800 in words is "four hundred eleven million, nine hundred eighty thousand, eight hundred".