249457 has 8 divisors (see below), whose sum is σ = 277760. Its totient is φ = 222480.

The previous prime is 249449. The next prime is 249463. The reversal of 249457 is 754942.

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

It is a cyclic number.

It is not a de Polignac number, because 249457 - 2³ = 249449 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an Ulam number.

It is a d-powerful number, because it can be written as 2 + 4⁸ + 4⁸ + 9³ + 5 + 7⁶ .

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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94 + ... + 712.

It is an arithmetic number, because the mean of its divisors is an integer number (34720).

2²⁴⁹⁴⁵⁷ is an apocalyptic number.

It is an amenable number.

249457 is a deficient number, since it is larger than the sum of its proper divisors (28303).

249457 is a wasteful number, since it uses less digits than its factorization.

249457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663.

The product of its digits is 10080, while the sum is 31.

The square root of 249457 is about 499.4567048304. The cubic root of 249457 is about 62.9504102918.

The spelling of 249457 in words is "two hundred forty-nine thousand, four hundred fifty-seven".