411563104 has 72 divisors (see below), whose sum is σ = 892911600. Its totient is φ = 186354432.

The previous prime is 411563069. The next prime is 411563129. The reversal of 411563104 is 401365114.

It is a super-2 number, since 2×411563104² = 338768377148229632, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 264922 + ... + 266470.

It is an arithmetic number, because the mean of its divisors is an integer number (12401550).

Almost surely, 2^411563104 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 411563104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446455800).

411563104 is an abundant number, since it is smaller than the sum of its proper divisors (481348496).

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

411563104 is a wasteful number, since it uses less digits than its factorization.

411563104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1620 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 411563104 is about 20287.0181150410. The cubic root of 411563104 is about 743.8387710910.

The spelling of 411563104 in words is "four hundred eleven million, five hundred sixty-three thousand, one hundred four".