320250240 has 256 divisors, whose sum is σ = 1163289600. Its totient is φ = 83220480.

The previous prime is 320250239. The next prime is 320250247. The reversal of 320250240 is 42052023.

320250240 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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320250247) 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, 742825 + ... + 743255.

It is an arithmetic number, because the mean of its divisors is an integer number (4544100).

Almost surely, 2^320250240 is an apocalyptic number.

320250240 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 320250240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581644800).

320250240 is an abundant number, since it is smaller than the sum of its proper divisors (843039360).

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

320250240 is a wasteful number, since it uses less digits than its factorization.

320250240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 320250240 is about 17895.5368737571. The cubic root of 320250240 is about 684.1686257077.

The spelling of 320250240 in words is "three hundred twenty million, two hundred fifty thousand, two hundred forty".