249407 has 6 divisors (see below), whose sum is σ = 265248. Its totient is φ = 234464.

The previous prime is 249397. The next prime is 249419. The reversal of 249407 is 704942.

It is not a de Polignac number, because 249407 - 2¹⁶ = 183871 is a prime.

It is a Duffinian number.

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 249407.

It is not an unprimeable number, because it can be changed into a prime (249427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 143 + ... + 720.

It is an arithmetic number, because the mean of its divisors is an integer number (44208).

2²⁴⁹⁴⁰⁷ is an apocalyptic number.

249407 is a deficient number, since it is larger than the sum of its proper divisors (15841).

249407 is an equidigital number, since it uses as much as digits as its factorization.

249407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 249407 is about 499.4066479333. The cubic root of 249407 is about 62.9462041817.

Subtracting 249407 from its reverse (704942), we obtain a triangular number (455535 = T₉₅₄).

It can be divided in two parts, 249 and 407, that added together give a palindrome (656).

The spelling of 249407 in words is "two hundred forty-nine thousand, four hundred seven".