441036864 has 84 divisors (see below), whose sum is σ = 1272465324. Its totient is φ = 146045952.

The previous prime is 441036863. The next prime is 441036887. The reversal of 441036864 is 468630144.

It can be written as a sum of positive squares in 2 ways, for example, as 125619264 + 315417600 = 11208^2 + 17760^2 .

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

It is not an unprimeable number, because it can be changed into a prime (441036863) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87994 + ... + 92870.

Almost surely, 2^441036864 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 441036864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636232662).

441036864 is an abundant number, since it is smaller than the sum of its proper divisors (831428460).

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

441036864 is a wasteful number, since it uses less digits than its factorization.

441036864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5052 (or 5039 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 441036864 is about 21000.8776959440. The cubic root of 441036864 is about 761.1874696064.

The spelling of 441036864 in words is "four hundred forty-one million, thirty-six thousand, eight hundred sixty-four".