363444 has 24 divisors (see below), whose sum is σ = 876288. Its totient is φ = 117120.

The previous prime is 363439. The next prime is 363463. The reversal of 363444 is 444363.

363444 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×363444² = 264183082272, which contains 22 as substring.

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

It is an Ulam number.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

363444 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 7 ways as a sum of consecutive naturals, for example, 117 + ... + 860.

It is an arithmetic number, because the mean of its divisors is an integer number (36512).

2³⁶³⁴⁴⁴ is an apocalyptic number.

It is an amenable number.

363444 is an abundant number, since it is smaller than the sum of its proper divisors (512844).

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

363444 is a wasteful number, since it uses less digits than its factorization.

363444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015 (or 1013 counting only the distinct ones).

The product of its digits is 3456, while the sum is 24.

The square root of 363444 is about 602.8631685549. The cubic root of 363444 is about 71.3639972591.

The spelling of 363444 in words is "three hundred sixty-three thousand, four hundred forty-four".