441408 has 84 divisors (see below), whose sum is σ = 1351280. Its totient is φ = 126720.

The previous prime is 441403. The next prime is 441421. The reversal of 441408 is 804144.

It is not an unprimeable number, because it can be changed into a prime (441403) by changing a digit.

441408 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23223 + ... + 23241.

2⁴⁴¹⁴⁰⁸ is an apocalyptic number.

441408 is a gapful number since it is divisible by the number (48) 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 441408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675640).

441408 is an abundant number, since it is smaller than the sum of its proper divisors (909872).

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

441408 is a wasteful number, since it uses less digits than its factorization.

441408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 441408 is about 664.3854303038. The cubic root of 441408 is about 76.1400924829.

Subtracting from 441408 its product of nonzero digits (512), we obtain a square (440896 = 664²).

The spelling of 441408 in words is "four hundred forty-one thousand, four hundred eight".