249992352 has 48 divisors (see below), whose sum is σ = 729146880. Its totient is φ = 83330496.

The previous prime is 249992317. The next prime is 249992363. The reversal of 249992352 is 253299942.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 249992298 and 249992307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 143808 + ... + 145535.

It is an arithmetic number, because the mean of its divisors is an integer number (15190560).

Almost surely, 2^249992352 is an apocalyptic number.

It is an amenable number.

249992352 is an abundant number, since it is smaller than the sum of its proper divisors (479154528).

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

249992352 is a wasteful number, since it uses less digits than its factorization.

249992352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289362 (or 289348 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 249992352 is about 15811.1464479967. The cubic root of 249992352 is about 629.9541009645.

The spelling of 249992352 in words is "two hundred forty-nine million, nine hundred ninety-two thousand, three hundred fifty-two".