248382240 has 192 divisors, whose sum is σ = 843696000. Its totient is φ = 61194240.

The previous prime is 248382227. The next prime is 248382247. The reversal of 248382240 is 42283842.

It is not an unprimeable number, because it can be changed into a prime (248382247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 497511 + ... + 498009.

It is an arithmetic number, because the mean of its divisors is an integer number (4394250).

Almost surely, 2^248382240 is an apocalyptic number.

248382240 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 248382240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421848000).

248382240 is an abundant number, since it is smaller than the sum of its proper divisors (595313760).

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

248382240 is a wasteful number, since it uses less digits than its factorization.

248382240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 248382240 is about 15760.1472074343. The cubic root of 248382240 is about 628.5987500914.

The spelling of 248382240 in words is "two hundred forty-eight million, three hundred eighty-two thousand, two hundred forty".