249307668 has 36 divisors (see below), whose sum is σ = 634806900. Its totient is φ = 82494336.

The previous prime is 249307651. The next prime is 249307687. The reversal of 249307668 is 866703942.

It can be written as a sum of positive squares in 2 ways, for example, as 170772624 + 78535044 = 13068^2 + 8862^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20343 + ... + 30206.

It is an arithmetic number, because the mean of its divisors is an integer number (17633525).

Almost surely, 2^249307668 is an apocalyptic number.

It is an amenable number.

249307668 is an abundant number, since it is smaller than the sum of its proper divisors (385499232).

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

249307668 is a wasteful number, since it uses less digits than its factorization.

249307668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50696 (or 50691 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 249307668 is about 15789.4796621041. The cubic root of 249307668 is about 629.3784648710.

The spelling of 249307668 in words is "two hundred forty-nine million, three hundred seven thousand, six hundred sixty-eight".