249496 has 16 divisors (see below), whose sum is σ = 504000. Its totient is φ = 115104.

The previous prime is 249463. The next prime is 249497. The reversal of 249496 is 694942.

It is an Ulam number.

It is a d-powerful number, because it can be written as 2¹⁷ + 4³ + 4⁴ + 9⁵ + 9⁵ + 6 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249497) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1096 + ... + 1303.

It is an arithmetic number, because the mean of its divisors is an integer number (31500).

2²⁴⁹⁴⁹⁶ is an apocalyptic number.

249496 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

249496 is an abundant number, since it is smaller than the sum of its proper divisors (254504).

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

249496 is a wasteful number, since it uses less digits than its factorization.

249496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2418 (or 2414 counting only the distinct ones).

The product of its digits is 15552, while the sum is 34.

The square root of 249496 is about 499.4957457276. The cubic root of 249496 is about 62.9536906676.

The spelling of 249496 in words is "two hundred forty-nine thousand, four hundred ninety-six".