248080320 has 280 divisors, whose sum is σ = 936034704. Its totient is φ = 62152704.

The previous prime is 248080307. The next prime is 248080367. The reversal of 248080320 is 23080842.

248080320 is digitally balanced in base 2, 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 440359 + ... + 440921.

Almost surely, 2^248080320 is an apocalyptic number.

248080320 is a gapful number since it is divisible by the number (20) 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 248080320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468017352).

248080320 is an abundant number, since it is smaller than the sum of its proper divisors (687954384).

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

248080320 is a wasteful number, since it uses less digits than its factorization.

248080320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 248080320 is about 15750.5657041263. The cubic root of 248080320 is about 628.3439499567.

The spelling of 248080320 in words is "two hundred forty-eight million, eighty thousand, three hundred twenty".