411956864 has 64 divisors (see below), whose sum is σ = 934303680. Its totient is φ = 179097600.

The previous prime is 411956849. The next prime is 411956911. The reversal of 411956864 is 468659114.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (44).

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 7 ways as a sum of consecutive naturals, for example, 26024 + ... + 38744.

It is an arithmetic number, because the mean of its divisors is an integer number (14598495).

Almost surely, 2^411956864 is an apocalyptic number.

411956864 is a gapful number since it is divisible by the number (44) 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 411956864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467151840).

411956864 is an abundant number, since it is smaller than the sum of its proper divisors (522346816).

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

411956864 is a wasteful number, since it uses less digits than its factorization.

411956864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12769 (or 12757 counting only the distinct ones).

The product of its digits is 207360, while the sum is 44.

The square root of 411956864 is about 20296.7205232767. The cubic root of 411956864 is about 744.0759162523.

The spelling of 411956864 in words is "four hundred eleven million, nine hundred fifty-six thousand, eight hundred sixty-four".