249704 has 40 divisors (see below), whose sum is σ = 588210. Its totient is φ = 98784.

The previous prime is 249703. The next prime is 249721. The reversal of 249704 is 407942.

249704 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 240100 + 9604 = 490^2 + 98^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (249703) 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 9 ways as a sum of consecutive naturals, for example, 19202 + ... + 19214.

2²⁴⁹⁷⁰⁴ 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 249704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294105).

249704 is an abundant number, since it is smaller than the sum of its proper divisors (338506).

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

249704 is an equidigital number, since it uses as much as digits as its factorization.

249704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 22 counting only the distinct ones).

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

The square root of 249704 is about 499.7039123321. The cubic root of 249704 is about 62.9711802339.

Multiplying 249704 by its sum of digits (26), we get a square (6492304 = 2548²).

249704 divided by its sum of digits (26) gives a square (9604 = 98²).

The spelling of 249704 in words is "two hundred forty-nine thousand, seven hundred four".