249416 has 8 divisors (see below), whose sum is σ = 467670. Its totient is φ = 124704.

The previous prime is 249397. The next prime is 249419. The reversal of 249416 is 614942.

249416 is digitally balanced in base 2, 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., 184900 + 64516 = 430^2 + 254^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is not an unprimeable number, because it can be changed into a prime (249419) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15581 + ... + 15596.

2²⁴⁹⁴¹⁶ is an apocalyptic number.

It is an amenable number.

249416 is a deficient number, since it is larger than the sum of its proper divisors (218254).

249416 is a wasteful number, since it uses less digits than its factorization.

249416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31183 (or 31179 counting only the distinct ones).

The product of its digits is 1728, while the sum is 26.

The square root of 249416 is about 499.4156585451. The cubic root of 249416 is about 62.9469613230.

The spelling of 249416 in words is "two hundred forty-nine thousand, four hundred sixteen".