441338560 has 112 divisors (see below), whose sum is σ = 1138830336. Its totient is φ = 161943552.

The previous prime is 441338551. The next prime is 441338561. The reversal of 441338560 is 65833144.

441338560 = 1793² + 1794² + ... + 1920².

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (441338561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1152129 + ... + 1152511.

It is an arithmetic number, because the mean of its divisors is an integer number (10168128).

Almost surely, 2^441338560 is an apocalyptic number.

441338560 is a gapful number since it is divisible by the number (40) 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 441338560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569415168).

441338560 is an abundant number, since it is smaller than the sum of its proper divisors (697491776).

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

441338560 is a wasteful number, since it uses less digits than its factorization.

441338560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 441338560 is about 21008.0594058566. The cubic root of 441338560 is about 761.3609961973.

The spelling of 441338560 in words is "four hundred forty-one million, three hundred thirty-eight thousand, five hundred sixty".