249895716 has 96 divisors (see below), whose sum is σ = 712857600. Its totient is φ = 66507264.

The previous prime is 249895703. The next prime is 249895721. The reversal of 249895716 is 617598942.

249895716 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146235 + ... + 147933.

It is an arithmetic number, because the mean of its divisors is an integer number (7425600).

Almost surely, 2^249895716 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 249895716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356428800).

249895716 is an abundant number, since it is smaller than the sum of its proper divisors (462961884).

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

249895716 is a wasteful number, since it uses less digits than its factorization.

249895716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1833 (or 1831 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 51.

The square root of 249895716 is about 15808.0902072325. The cubic root of 249895716 is about 629.8729196940.

The spelling of 249895716 in words is "two hundred forty-nine million, eight hundred ninety-five thousand, seven hundred sixteen".