320253360 has 320 divisors, whose sum is σ = 1218969600. Its totient is φ = 67931136.

The previous prime is 320253331. The next prime is 320253397. The reversal of 320253360 is 63352023.

320253360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 320253360.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2521617 + ... + 2521743.

It is an arithmetic number, because the mean of its divisors is an integer number (3809280).

Almost surely, 2^320253360 is an apocalyptic number.

320253360 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 320253360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609484800).

320253360 is an abundant number, since it is smaller than the sum of its proper divisors (898716240).

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

320253360 is a wasteful number, since it uses less digits than its factorization.

320253360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 24.

The square root of 320253360 is about 17895.6240461181. The cubic root of 320253360 is about 684.1708475111.

The spelling of 320253360 in words is "three hundred twenty million, two hundred fifty-three thousand, three hundred sixty".