360495520 has 192 divisors, whose sum is σ = 1099526400. Its totient is φ = 108380160.

The previous prime is 360495481. The next prime is 360495521. The reversal of 360495520 is 25594063.

360495520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (360495521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 356776 + ... + 357784.

It is an arithmetic number, because the mean of its divisors is an integer number (5726700).

Almost surely, 2^360495520 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 360495520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549763200).

360495520 is an abundant number, since it is smaller than the sum of its proper divisors (739030880).

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

360495520 is a wasteful number, since it uses less digits than its factorization.

360495520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 34.

The square root of 360495520 is about 18986.7195692147. The cubic root of 360495520 is about 711.7049023279.

The spelling of 360495520 in words is "three hundred sixty million, four hundred ninety-five thousand, five hundred twenty".