248935440 has 160 divisors (see below), whose sum is σ = 867444480. Its totient is φ = 58595328.

The previous prime is 248935411. The next prime is 248935441. The reversal of 248935440 is 44539842.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (248935441) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 70026 + ... + 73494.

It is an arithmetic number, because the mean of its divisors is an integer number (5421528).

Almost surely, 2^248935440 is an apocalyptic number.

248935440 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 248935440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433722240).

248935440 is an abundant number, since it is smaller than the sum of its proper divisors (618509040).

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

248935440 is a wasteful number, since it uses less digits than its factorization.

248935440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3521 (or 3515 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 248935440 is about 15777.6880435633. The cubic root of 248935440 is about 629.0650783647.

The spelling of 248935440 in words is "two hundred forty-eight million, nine hundred thirty-five thousand, four hundred forty".