360389120 has 360 divisors, whose sum is σ = 1152458604. Its totient is φ = 107347968.

The previous prime is 360389089. The next prime is 360389153. The reversal of 360389120 is 21983063.

It can be written as a sum of positive squares in 6 ways, for example, as 74373376 + 286015744 = 8624^2 + 16912^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21199352 + ... + 21199368.

Almost surely, 2^360389120 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 360389120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576229302).

360389120 is an abundant number, since it is smaller than the sum of its proper divisors (792069484).

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

360389120 is a wasteful number, since it uses less digits than its factorization.

360389120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 360389120 is about 18983.9174039501. The cubic root of 360389120 is about 711.6348757037.

The spelling of 360389120 in words is "three hundred sixty million, three hundred eighty-nine thousand, one hundred twenty".