390249 has 12 divisors (see below), whose sum is σ = 569712. Its totient is φ = 257400.

The previous prime is 390223. The next prime is 390263. The reversal of 390249 is 942093.

It is not a de Polignac number, because 390249 - 2¹² = 386153 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (390209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1014 + ... + 1344.

It is an arithmetic number, because the mean of its divisors is an integer number (47476).

2³⁹⁰²⁴⁹ is an apocalyptic number.

It is an amenable number.

390249 is a deficient number, since it is larger than the sum of its proper divisors (179463).

390249 is a wasteful number, since it uses less digits than its factorization.

390249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 390249 is about 624.6991275806. The cubic root of 390249 is about 73.0769814049.

The spelling of 390249 in words is "three hundred ninety thousand, two hundred forty-nine".