249039840 has 384 divisors, whose sum is σ = 975421440. Its totient is φ = 52144128.

The previous prime is 249039839. The next prime is 249039877. The reversal of 249039840 is 48930942.

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 63 ways as a sum of consecutive naturals, for example, 3000439 + ... + 3000521.

It is an arithmetic number, because the mean of its divisors is an integer number (2540160).

Almost surely, 2^249039840 is an apocalyptic number.

249039840 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 249039840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487710720).

249039840 is an abundant number, since it is smaller than the sum of its proper divisors (726381600).

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

249039840 is a wasteful number, since it uses less digits than its factorization.

249039840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 249039840 is about 15780.9961662754. The cubic root of 249039840 is about 629.1530064039.

It can be divided in two parts, 24903 and 9840, that added together give a palindrome (34743).

The spelling of 249039840 in words is "two hundred forty-nine million, thirty-nine thousand, eight hundred forty".