248210240 has 56 divisors (see below), whose sum is σ = 593765640. Its totient is φ = 98828288.

The previous prime is 248210219. The next prime is 248210257. The reversal of 248210240 is 42012842.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2849344 + 245360896 = 1688^2 + 15664^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72896 + ... + 76224.

Almost surely, 2^248210240 is an apocalyptic number.

248210240 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 248210240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296882820).

248210240 is an abundant number, since it is smaller than the sum of its proper divisors (345555400).

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

248210240 is a wasteful number, since it uses less digits than its factorization.

248210240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3579 (or 3569 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

The square root of 248210240 is about 15754.6894606019. The cubic root of 248210240 is about 628.4536190072.

The spelling of 248210240 in words is "two hundred forty-eight million, two hundred ten thousand, two hundred forty".