248845344 has 96 divisors (see below), whose sum is σ = 722856960. Its totient is φ = 74323200.

The previous prime is 248845327. The next prime is 248845351. The reversal of 248845344 is 443548842.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 248845296 and 248845305.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 73317 + ... + 76635.

It is an arithmetic number, because the mean of its divisors is an integer number (7529760).

Almost surely, 2^248845344 is an apocalyptic number.

248845344 is a gapful number since it is divisible by the number (24) 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 248845344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361428480).

248845344 is an abundant number, since it is smaller than the sum of its proper divisors (474011616).

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

248845344 is a wasteful number, since it uses less digits than its factorization.

248845344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3414 (or 3406 counting only the distinct ones).

The product of its digits is 491520, while the sum is 42.

The square root of 248845344 is about 15774.8326140089. The cubic root of 248845344 is about 628.9891777133.

The spelling of 248845344 in words is "two hundred forty-eight million, eight hundred forty-five thousand, three hundred forty-four".