360444 has 36 divisors (see below), whose sum is σ = 979944. Its totient is φ = 102816.

The previous prime is 360439. The next prime is 360457. The reversal of 360444 is 444063.

It is a Harshad number since it is a multiple of its sum of digits (21).

360444 is a modest number, since divided by 444 gives 360 as remainder.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 360444.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 360444.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 282 + ... + 894.

2³⁶⁰⁴⁴⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 360444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489972).

360444 is an abundant number, since it is smaller than the sum of its proper divisors (619500).

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

360444 is a wasteful number, since it uses less digits than its factorization.

360444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 360444 is about 600.3698859870. The cubic root of 360444 is about 71.1670996420.

The spelling of 360444 in words is "three hundred sixty thousand, four hundred forty-four".