249669168 has 80 divisors (see below), whose sum is σ = 742214400. Its totient is φ = 70841088.

The previous prime is 249669143. The next prime is 249669227. The reversal of 249669168 is 861966942.

It is a self number, because there is not a number n which added to its sum of digits gives 249669168.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47571 + ... + 52557.

It is an arithmetic number, because the mean of its divisors is an integer number (9277680).

Almost surely, 2^249669168 is an apocalyptic number.

249669168 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249669168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371107200).

249669168 is an abundant number, since it is smaller than the sum of its proper divisors (492545232).

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

249669168 is a wasteful number, since it uses less digits than its factorization.

249669168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5154 (or 5148 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 51.

The square root of 249669168 is about 15800.9230110143. The cubic root of 249669168 is about 629.6825208139.

The spelling of 249669168 in words is "two hundred forty-nine million, six hundred sixty-nine thousand, one hundred sixty-eight".