248249340 has 96 divisors (see below), whose sum is σ = 775656000. Its totient is φ = 65915136.

The previous prime is 248249329. The next prime is 248249359. The reversal of 248249340 is 43942842.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 248249295 and 248249304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144406 + ... + 146114.

It is an arithmetic number, because the mean of its divisors is an integer number (8079750).

Almost surely, 2^248249340 is an apocalyptic number.

248249340 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 248249340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387828000).

248249340 is an abundant number, since it is smaller than the sum of its proper divisors (527406660).

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

248249340 is a wasteful number, since it uses less digits than its factorization.

248249340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1996 (or 1988 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 248249340 is about 15755.9303121079. The cubic root of 248249340 is about 628.4866169022.

The spelling of 248249340 in words is "two hundred forty-eight million, two hundred forty-nine thousand, three hundred forty".