441345264 has 80 divisors (see below), whose sum is σ = 1184209920. Its totient is φ = 141488640.

The previous prime is 441345253. The next prime is 441345299. The reversal of 441345264 is 462543144.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 265524 + ... + 267180.

It is an arithmetic number, because the mean of its divisors is an integer number (14802624).

Almost surely, 2^441345264 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 441345264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592104960).

441345264 is an abundant number, since it is smaller than the sum of its proper divisors (742864656).

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

441345264 is a wasteful number, since it uses less digits than its factorization.

441345264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1878 (or 1872 counting only the distinct ones).

The product of its digits is 46080, while the sum is 33.

The square root of 441345264 is about 21008.2189630630. The cubic root of 441345264 is about 761.3648512410.

The spelling of 441345264 in words is "four hundred forty-one million, three hundred forty-five thousand, two hundred sixty-four".