441295264 has 48 divisors (see below), whose sum is σ = 884822400. Its totient is φ = 216612864.

The previous prime is 441295249. The next prime is 441295271. The reversal of 441295264 is 462592144.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 573472 + ... + 574240.

It is an arithmetic number, because the mean of its divisors is an integer number (18433800).

Almost surely, 2^441295264 is an apocalyptic number.

It is an amenable number.

441295264 is an abundant number, since it is smaller than the sum of its proper divisors (443527136).

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

441295264 is a wasteful number, since it uses less digits than its factorization.

441295264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085 (or 1077 counting only the distinct ones).

The product of its digits is 69120, while the sum is 37.

The square root of 441295264 is about 21007.0289189119. The cubic root of 441295264 is about 761.3360984834.

The spelling of 441295264 in words is "four hundred forty-one million, two hundred ninety-five thousand, two hundred sixty-four".