249904 has 10 divisors (see below), whose sum is σ = 484220. Its totient is φ = 124944.

The previous prime is 249881. The next prime is 249911. The reversal of 249904 is 409942.

It is a super-3 number, since 3×249904³ = 46821020733345792, which contains 333 as substring.

It is an Ulam number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7794 + ... + 7825.

It is an arithmetic number, because the mean of its divisors is an integer number (48422).

2²⁴⁹⁹⁰⁴ is an apocalyptic number.

It is an amenable number.

249904 is a deficient number, since it is larger than the sum of its proper divisors (234316).

249904 is a wasteful number, since it uses less digits than its factorization.

249904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15627 (or 15621 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 249904 is about 499.9039907822. The cubic root of 249904 is about 62.9879879677.

The spelling of 249904 in words is "two hundred forty-nine thousand, nine hundred four".