248359280 has 80 divisors (see below), whose sum is σ = 635209344. Its totient is φ = 89733120.

The previous prime is 248359253. The next prime is 248359297. The reversal of 248359280 is 82953842.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46340 + ... + 51420.

Almost surely, 2^248359280 is an apocalyptic number.

248359280 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 248359280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317604672).

248359280 is an abundant number, since it is smaller than the sum of its proper divisors (386850064).

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

248359280 is a wasteful number, since it uses less digits than its factorization.

248359280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5154 (or 5148 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 41.

The square root of 248359280 is about 15759.4187710080. The cubic root of 248359280 is about 628.5793806550.

The spelling of 248359280 in words is "two hundred forty-eight million, three hundred fifty-nine thousand, two hundred eighty".