360144360 has 192 divisors, whose sum is σ = 1244030400. Its totient is φ = 92672640.

The previous prime is 360144313. The next prime is 360144361. The reversal of 360144360 is 63441063.

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

It is not an unprimeable number, because it can be changed into a prime (360144361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1037707 + ... + 1038053.

It is an arithmetic number, because the mean of its divisors is an integer number (6479325).

Almost surely, 2^360144360 is an apocalyptic number.

360144360 is a gapful number since it is divisible by the number (30) 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 360144360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622015200).

360144360 is an abundant number, since it is smaller than the sum of its proper divisors (883886040).

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

360144360 is a wasteful number, since it uses less digits than its factorization.

360144360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 360144360 is about 18977.4697997388. The cubic root of 360144360 is about 711.4737358051.

It can be divided in two parts, 3601 and 44360, that added together give a square (47961 = 219²).

The spelling of 360144360 in words is "three hundred sixty million, one hundred forty-four thousand, three hundred sixty".