249823232 has 38 divisors (see below), whose sum is σ = 500169798. Its totient is φ = 124780544.

The previous prime is 249823219. The next prime is 249823237. The reversal of 249823232 is 232328942.

It can be written as a sum of positive squares in only one way, i.e., 205520896 + 44302336 = 14336^2 + 6656^2 .

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 249823192 and 249823201.

It is not an unprimeable number, because it can be changed into a prime (249823237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 261668 + ... + 262620.

Almost surely, 2^249823232 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 249823232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250084899).

249823232 is an abundant number, since it is smaller than the sum of its proper divisors (250346566).

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

249823232 is an frugal number, since it uses more digits than its factorization.

249823232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989 (or 955 counting only the distinct ones).

The product of its digits is 41472, while the sum is 35.

The square root of 249823232 is about 15805.7974174035. The cubic root of 249823232 is about 629.8120141232.

The spelling of 249823232 in words is "two hundred forty-nine million, eight hundred twenty-three thousand, two hundred thirty-two".