249758340 has 72 divisors (see below), whose sum is σ = 757286208. Its totient is φ = 61476480.

The previous prime is 249758323. The next prime is 249758359. The reversal of 249758340 is 43857942.

It is a junction number, because it is equal to n+sod(n) for n = 249758292 and 249758301.

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 23 ways as a sum of consecutive naturals, for example, 2176 + ... + 22455.

It is an arithmetic number, because the mean of its divisors is an integer number (10517864).

Almost surely, 2^249758340 is an apocalyptic number.

249758340 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 249758340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378643104).

249758340 is an abundant number, since it is smaller than the sum of its proper divisors (507527868).

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

249758340 is a wasteful number, since it uses less digits than its factorization.

249758340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24669 (or 24654 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 249758340 is about 15803.7444929991. The cubic root of 249758340 is about 629.7574778283.

The spelling of 249758340 in words is "two hundred forty-nine million, seven hundred fifty-eight thousand, three hundred forty".