441360 has 60 divisors (see below), whose sum is σ = 1484652. Its totient is φ = 117504.

The previous prime is 441359. The next prime is 441361. The reversal of 441360 is 63144.

441360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (441359) and next prime (441361).

It can be written as a sum of positive squares in 2 ways, for example, as 51984 + 389376 = 228^2 + 624^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (441361) 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, 414 + ... + 1026.

2⁴⁴¹³⁶⁰ is an apocalyptic number.

441360 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 441360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742326).

441360 is an abundant number, since it is smaller than the sum of its proper divisors (1043292).

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

441360 is a wasteful number, since it uses less digits than its factorization.

441360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 441360 is about 664.3493057120. The cubic root of 441360 is about 76.1373324839.

The spelling of 441360 in words is "four hundred forty-one thousand, three hundred sixty".