249411834 has 48 divisors (see below), whose sum is σ = 621728640. Its totient is φ = 70783200.

The previous prime is 249411791. The next prime is 249411887. The reversal of 249411834 is 438114942.

It is a happy number.

249411834 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12472 + ... + 25580.

It is an arithmetic number, because the mean of its divisors is an integer number (12952680).

Almost surely, 2^249411834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249411834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310864320).

249411834 is an abundant number, since it is smaller than the sum of its proper divisors (372316806).

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

249411834 is a wasteful number, since it uses less digits than its factorization.

249411834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13275 (or 13272 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 249411834 is about 15792.7779063723. Note that the first 3 decimals coincide. The cubic root of 249411834 is about 629.4661085298.

The spelling of 249411834 in words is "two hundred forty-nine million, four hundred eleven thousand, eight hundred thirty-four".