249228864 has 84 divisors (see below), whose sum is σ = 720205824. Its totient is φ = 82397952.

The previous prime is 249228853. The next prime is 249228877. The reversal of 249228864 is 468822942.

It is a nude number because it is divisible by every one of its digits.

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, 71449 + ... + 74855.

Almost surely, 2^249228864 is an apocalyptic number.

249228864 is a gapful number since it is divisible by the number (24) 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 249228864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360102912).

249228864 is an abundant number, since it is smaller than the sum of its proper divisors (470976960).

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

249228864 is a wasteful number, since it uses less digits than its factorization.

249228864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3552 (or 3539 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 249228864 is about 15786.9840058195. The cubic root of 249228864 is about 629.3121441843.

The spelling of 249228864 in words is "two hundred forty-nine million, two hundred twenty-eight thousand, eight hundred sixty-four".