249906 has 8 divisors (see below), whose sum is σ = 499824. Its totient is φ = 83300.

The previous prime is 249881. The next prime is 249911. The reversal of 249906 is 609942.

It is a sphenic number, since it is the product of 3 distinct primes.

249906 is an admirable number.

It is a d-powerful number, because it can be written as 2¹⁷ + 4⁸ + 9² + 9⁴ + 0 + 6⁶ .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 249906.

It is an unprimeable number.

249906 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20820 + ... + 20831.

It is an arithmetic number, because the mean of its divisors is an integer number (62478).

2²⁴⁹⁹⁰⁶ is an apocalyptic number.

249906 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

249906 is a wasteful number, since it uses less digits than its factorization.

249906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41656.

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 249906 is about 499.9059911623. The cubic root of 249906 is about 62.9881559997.

The spelling of 249906 in words is "two hundred forty-nine thousand, nine hundred six".