360044352 has 98 divisors (see below), whose sum is σ = 1071343298. Its totient is φ = 119999232.

The previous prime is 360044351. The next prime is 360044413. The reversal of 360044352 is 253440063.

360044352 is a `hidden beast` number, since 3 + 600 + 4 + 4 + 3 + 52 = 666.

It can be written as a sum of positive squares in only one way, i.e., 306110016 + 53934336 = 17496^2 + 7344^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (360044351) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 42798 + ... + 50514.

Almost surely, 2^360044352 is an apocalyptic number.

360044352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 360044352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535671649).

360044352 is an abundant number, since it is smaller than the sum of its proper divisors (711298946).

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

360044352 is an frugal number, since it uses more digits than its factorization.

360044352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7747 (or 7722 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 360044352 is about 18974.8347028373. The cubic root of 360044352 is about 711.4078736487.

The spelling of 360044352 in words is "three hundred sixty million, forty-four thousand, three hundred fifty-two".