248641440 has 144 divisors (see below), whose sum is σ = 802817568. Its totient is φ = 64676352.

The previous prime is 248641433. The next prime is 248641441. The reversal of 248641440 is 44146842.

It is not an unprimeable number, because it can be changed into a prime (248641441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2995639 + ... + 2995721.

It is an arithmetic number, because the mean of its divisors is an integer number (5575122).

Almost surely, 2^248641440 is an apocalyptic number.

248641440 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 248641440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401408784).

248641440 is an abundant number, since it is smaller than the sum of its proper divisors (554176128).

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

248641440 is an equidigital number, since it uses as much as digits as its factorization.

248641440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 172 counting only the distinct ones).

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

The square root of 248641440 is about 15768.3683366416. The cubic root of 248641440 is about 628.8173327520.

The spelling of 248641440 in words is "two hundred forty-eight million, six hundred forty-one thousand, four hundred forty".