249408 has 42 divisors (see below), whose sum is σ = 716534. Its totient is φ = 82944.

The previous prime is 249397. The next prime is 249419. The reversal of 249408 is 804942.

It is an interprime number because it is at equal distance from previous prime (249397) and next prime (249419).

It can be written as a sum of positive squares in only one way, i.e., 166464 + 82944 = 408^2 + 288^2 .

It is an unprimeable number.

249408 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 360 + ... + 792.

2²⁴⁹⁴⁰⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358267).

249408 is an abundant number, since it is smaller than the sum of its proper divisors (467126).

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

249408 is a wasteful number, since it uses less digits than its factorization.

249408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 249408 is about 499.4076491204. The cubic root of 249408 is about 62.9462883094.

The spelling of 249408 in words is "two hundred forty-nine thousand, four hundred eight".