411840864 has 72 divisors (see below), whose sum is σ = 1174780152. Its totient is φ = 136857600.

The previous prime is 411840841. The next prime is 411840881. The reversal of 411840864 is 468048114.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×411840864² = 339225794520532992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99639 + ... + 103689.

It is an arithmetic number, because the mean of its divisors is an integer number (16316391).

Almost surely, 2^411840864 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 411840864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587390076).

411840864 is an abundant number, since it is smaller than the sum of its proper divisors (762939288).

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

411840864 is a wasteful number, since it uses less digits than its factorization.

411840864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4420 (or 4409 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 411840864 is about 20293.8627175804. The cubic root of 411840864 is about 744.0060700164.

Adding to 411840864 its reverse (468048114), we get a palindrome (879888978).

The spelling of 411840864 in words is "four hundred eleven million, eight hundred forty thousand, eight hundred sixty-four".