360496560 has 160 divisors (see below), whose sum is σ = 1193227200. Its totient is φ = 89718784.

The previous prime is 360496553. The next prime is 360496561. The reversal of 360496560 is 65694063.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (360496561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 607624 + ... + 608216.

It is an arithmetic number, because the mean of its divisors is an integer number (7457670).

Almost surely, 2^360496560 is an apocalyptic number.

360496560 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 360496560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596613600).

360496560 is an abundant number, since it is smaller than the sum of its proper divisors (832730640).

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

360496560 is a wasteful number, since it uses less digits than its factorization.

360496560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 39.

The square root of 360496560 is about 18986.7469567591. The cubic root of 360496560 is about 711.7055867307.

The spelling of 360496560 in words is "three hundred sixty million, four hundred ninety-six thousand, five hundred sixty".