411333408 has 144 divisors (see below), whose sum is σ = 1202947200. Its totient is φ = 133286400.

The previous prime is 411333397. The next prime is 411333457. The reversal of 411333408 is 804333114.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2297863 + ... + 2298041.

It is an arithmetic number, because the mean of its divisors is an integer number (8353800).

Almost surely, 2^411333408 is an apocalyptic number.

411333408 is a gapful number since it is divisible by the number (48) 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 411333408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601473600).

411333408 is an abundant number, since it is smaller than the sum of its proper divisors (791613792).

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

411333408 is a wasteful number, since it uses less digits than its factorization.

411333408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 411333408 is about 20281.3561676728. The cubic root of 411333408 is about 743.7003649479.

The spelling of 411333408 in words is "four hundred eleven million, three hundred thirty-three thousand, four hundred eight".