249525952 has 56 divisors (see below), whose sum is σ = 535234896. Its totient is φ = 114736128.

The previous prime is 249525943. The next prime is 249525953. The reversal of 249525952 is 259525942.

It is a junction number, because it is equal to n+sod(n) for n = 249525899 and 249525908.

It is not an unprimeable number, because it can be changed into a prime (249525953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 368238 + ... + 368914.

It is an arithmetic number, because the mean of its divisors is an integer number (9557766).

Almost surely, 2^249525952 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 249525952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267617448).

249525952 is an abundant number, since it is smaller than the sum of its proper divisors (285708944).

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

249525952 is a wasteful number, since it uses less digits than its factorization.

249525952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1135 counting only the distinct ones).

The product of its digits is 324000, while the sum is 43.

The square root of 249525952 is about 15796.3904737760. The cubic root of 249525952 is about 629.5620976404.

The spelling of 249525952 in words is "two hundred forty-nine million, five hundred twenty-five thousand, nine hundred fifty-two".