249243072 has 112 divisors (see below), whose sum is σ = 722266272. Its totient is φ = 75386880.

The previous prime is 249243061. The next prime is 249243073. The reversal of 249243072 is 270342942.

249243072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249243073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151438 + ... + 153074.

It is an arithmetic number, because the mean of its divisors is an integer number (6448806).

Almost surely, 2^249243072 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 249243072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361133136).

249243072 is an abundant number, since it is smaller than the sum of its proper divisors (473023200).

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

249243072 is a wasteful number, since it uses less digits than its factorization.

249243072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1726 (or 1716 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 249243072 is about 15787.4339903608. The cubic root of 249243072 is about 629.3241025331.

The spelling of 249243072 in words is "two hundred forty-nine million, two hundred forty-three thousand, seventy-two".