362445444 has 81 divisors (see below), whose sum is σ = 972764247. Its totient is φ = 113771088.

The previous prime is 362445439. The next prime is 362445449. The reversal of 362445444 is 444544263.

The square root of 362445444 is 19038.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (362445439) and next prime (362445449).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 362445399 and 362445408.

It is not an unprimeable number, because it can be changed into a prime (362445449) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2170249 + ... + 2170415.

Almost surely, 2^362445444 is an apocalyptic number.

362445444 is the 19038-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 362445444

362445444 is an abundant number, since it is smaller than the sum of its proper divisors (610318803).

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

362445444 is a wasteful number, since it uses less digits than its factorization.

362445444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 191 counting only the distinct ones).

The product of its digits is 184320, while the sum is 36.

The cubic root of 362445444 is about 712.9858020249.

Multiplying 362445444 by its sum of digits (36), we get a square (13048035984 = 114228²).

362445444 divided by its sum of digits (36) gives a square (10067929 = 3173²).

The spelling of 362445444 in words is "three hundred sixty-two million, four hundred forty-five thousand, four hundred forty-four".