249905168 has 40 divisors (see below), whose sum is σ = 525200760. Its totient is φ = 114728960.

The previous prime is 249905137. The next prime is 249905177. The reversal of 249905168 is 861509942.

It can be written as a sum of positive squares in 4 ways, for example, as 20322064 + 229583104 = 4508^2 + 15152^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53 + ... + 22356.

It is an arithmetic number, because the mean of its divisors is an integer number (13130019).

Almost surely, 2^249905168 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 249905168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262600380).

249905168 is an abundant number, since it is smaller than the sum of its proper divisors (275295592).

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

249905168 is a wasteful number, since it uses less digits than its factorization.

249905168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22475 (or 22469 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 44.

The square root of 249905168 is about 15808.3891652502. The cubic root of 249905168 is about 629.8808609850.

The spelling of 249905168 in words is "two hundred forty-nine million, nine hundred five thousand, one hundred sixty-eight".