249766096 has 80 divisors (see below), whose sum is σ = 540590400. Its totient is φ = 111283200.

The previous prime is 249766093. The next prime is 249766109. The reversal of 249766096 is 690667942.

It is a super-2 number, since 2×249766096² = 124766205422162432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249766093) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 361111 + ... + 361801.

It is an arithmetic number, because the mean of its divisors is an integer number (6757380).

Almost surely, 2^249766096 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 249766096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270295200).

249766096 is an abundant number, since it is smaller than the sum of its proper divisors (290824304).

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

249766096 is a wasteful number, since it uses less digits than its factorization.

249766096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 49.

The square root of 249766096 is about 15803.9898759775. The cubic root of 249766096 is about 629.7639965942.

The spelling of 249766096 in words is "two hundred forty-nine million, seven hundred sixty-six thousand, ninety-six".