408444 has 24 divisors (see below), whose sum is σ = 965328. Its totient is φ = 134400.

The previous prime is 408437. The next prime is 408461. The reversal of 408444 is 444804.

It is a super-2 number, since 2×408444² = 333653002272, which contains 22 as substring.

408444 is a modest number, since divided by 444 gives 408 as remainder.

It is a congruent number.

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, 1044 + ... + 1380.

It is an arithmetic number, because the mean of its divisors is an integer number (40222).

2⁴⁰⁸⁴⁴⁴ is an apocalyptic number.

It is an amenable number.

408444 is an abundant number, since it is smaller than the sum of its proper divisors (556884).

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

408444 is a wasteful number, since it uses less digits than its factorization.

408444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 408444 is about 639.0962368846. The cubic root of 408444 is about 74.1954899262.

The spelling of 408444 in words is "four hundred eight thousand, four hundred forty-four".