249482592 has 120 divisors (see below), whose sum is σ = 759250800. Its totient is φ = 80269056.

The previous prime is 249482567. The next prime is 249482593. The reversal of 249482592 is 295284942.

It is a super-2 number, since 2×249482592² = 124483127422076928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249482593) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 73509 + ... + 76827.

It is an arithmetic number, because the mean of its divisors is an integer number (6327090).

Almost surely, 2^249482592 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 249482592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379625400).

249482592 is an abundant number, since it is smaller than the sum of its proper divisors (509768208).

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

249482592 is a wasteful number, since it uses less digits than its factorization.

249482592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3370 (or 3353 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 249482592 is about 15795.0179487078. The cubic root of 249482592 is about 629.5256292976.

The spelling of 249482592 in words is "two hundred forty-nine million, four hundred eighty-two thousand, five hundred ninety-two".