411820800 has 216 divisors, whose sum is σ = 1380067920. Its totient is φ = 108134400.

The previous prime is 411820757. The next prime is 411820837. The reversal of 411820800 is 8028114.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 23 ways as a sum of consecutive naturals, for example, 1708680 + ... + 1708920.

Almost surely, 2^411820800 is an apocalyptic number.

411820800 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 411820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690033960).

411820800 is an abundant number, since it is smaller than the sum of its proper divisors (968247120).

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

411820800 is a wasteful number, since it uses less digits than its factorization.

411820800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 411820800 is about 20293.3683749150. The cubic root of 411820800 is about 743.9939876957.

Adding to 411820800 its reverse (8028114), we get a palindrome (419848914).

The spelling of 411820800 in words is "four hundred eleven million, eight hundred twenty thousand, eight hundred".