248381280 has 288 divisors, whose sum is σ = 993964608. Its totient is φ = 55296000.

The previous prime is 248381279. The next prime is 248381291. The reversal of 248381280 is 82183842.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 412980 + ... + 413580.

It is an arithmetic number, because the mean of its divisors is an integer number (3451266).

Almost surely, 2^248381280 is an apocalyptic number.

248381280 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 248381280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496982304).

248381280 is an abundant number, since it is smaller than the sum of its proper divisors (745583328).

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

248381280 is a wasteful number, since it uses less digits than its factorization.

248381280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 248381280 is about 15760.1167508366. The cubic root of 248381280 is about 628.5979402435.

The spelling of 248381280 in words is "two hundred forty-eight million, three hundred eighty-one thousand, two hundred eighty".