249744105 has 24 divisors (see below), whose sum is σ = 466190088. Its totient is φ = 122950656.

The previous prime is 249744101. The next prime is 249744107. The reversal of 249744105 is 501447942.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 451584 + 249292521 = 672^2 + 15789^2 .

It is not a de Polignac number, because 249744105 - 2² = 249744101 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 249744105.

It is not an unprimeable number, because it can be changed into a prime (249744101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 212872 + ... + 214041.

It is an arithmetic number, because the mean of its divisors is an integer number (19424587).

Almost surely, 2^249744105 is an apocalyptic number.

It is an amenable number.

249744105 is a deficient number, since it is larger than the sum of its proper divisors (216445983).

249744105 is a wasteful number, since it uses less digits than its factorization.

249744105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426937 (or 426934 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 249744105 is about 15803.2941186324. The cubic root of 249744105 is about 629.7455132388.

The spelling of 249744105 in words is "two hundred forty-nine million, seven hundred forty-four thousand, one hundred five".