249006740 has 48 divisors (see below), whose sum is σ = 547223040. Its totient is φ = 94997760.

The previous prime is 249006739. The next prime is 249006749. The reversal of 249006740 is 47600942.

It is a junction number, because it is equal to n+sod(n) for n = 249006697 and 249006706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249006749) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 239141 + ... + 240179.

It is an arithmetic number, because the mean of its divisors is an integer number (11400480).

Almost surely, 2^249006740 is an apocalyptic number.

249006740 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 249006740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273611520).

249006740 is an abundant number, since it is smaller than the sum of its proper divisors (298216300).

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

249006740 is a wasteful number, since it uses less digits than its factorization.

249006740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1592 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 249006740 is about 15779.9474016867. The cubic root of 249006740 is about 629.1251314968.

The spelling of 249006740 in words is "two hundred forty-nine million, six thousand, seven hundred forty".