249138720 has 192 divisors, whose sum is σ = 882161280. Its totient is φ = 65664000.

The previous prime is 249138719. The next prime is 249138731. The reversal of 249138720 is 27831942.

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

It is a congruent number.

It is an unprimeable number.

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, 436035 + ... + 436605.

It is an arithmetic number, because the mean of its divisors is an integer number (4594590).

Almost surely, 2^249138720 is an apocalyptic number.

249138720 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 249138720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441080640).

249138720 is an abundant number, since it is smaller than the sum of its proper divisors (633022560).

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

249138720 is a wasteful number, since it uses less digits than its factorization.

249138720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 249138720 is about 15784.1287374375. The cubic root of 249138720 is about 629.2362627183.

It can be divided in two parts, 24913 and 8720, that added together give a palindrome (33633).

The spelling of 249138720 in words is "two hundred forty-nine million, one hundred thirty-eight thousand, seven hundred twenty".