393444 has 24 divisors (see below), whose sum is σ = 1020320. Its totient is φ = 131112.

The previous prime is 393413. The next prime is 393451. The reversal of 393444 is 444393.

It is a super-2 number, since 2×393444² = 309596362272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

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, 1714 + ... + 1929.

2³⁹³⁴⁴⁴ is an apocalyptic number.

It is an amenable number.

393444 is an abundant number, since it is smaller than the sum of its proper divisors (626876).

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

393444 is a wasteful number, since it uses less digits than its factorization.

393444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3656 (or 3648 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 393444 is about 627.2511458738. The cubic root of 393444 is about 73.2758686642.

The spelling of 393444 in words is "three hundred ninety-three thousand, four hundred forty-four".