360495360 has 432 divisors, whose sum is σ = 1383869760. Its totient is φ = 89579520.

The previous prime is 360495323. The next prime is 360495367. The reversal of 360495360 is 63594063.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is not an unprimeable number, because it can be changed into a prime (360495367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5909730 + ... + 5909790.

Almost surely, 2^360495360 is an apocalyptic number.

360495360 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 360495360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691934880).

360495360 is an abundant number, since it is smaller than the sum of its proper divisors (1023374400).

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

360495360 is an equidigital number, since it uses as much as digits as its factorization.

360495360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 360495360 is about 18986.7153557428. The cubic root of 360495360 is about 711.7047970351.

The spelling of 360495360 in words is "three hundred sixty million, four hundred ninety-five thousand, three hundred sixty".