249367248 has 300 divisors, whose sum is σ = 840329028. Its totient is φ = 70917120.

The previous prime is 249367243. The next prime is 249367249. The reversal of 249367248 is 842763942.

249367248 is a `hidden beast` number, since 2 + 49 + 367 + 248 = 666.

249367248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 22924944 + 226442304 = 4788^2 + 15048^2 .

Its product of digits (580608) is a multiple of the sum of its prime factors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249367241) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6082108 + ... + 6082148.

Almost surely, 2^249367248 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 249367248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420164514).

249367248 is an abundant number, since it is smaller than the sum of its proper divisors (590961780).

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

249367248 is a wasteful number, since it uses less digits than its factorization.

249367248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 78 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 249367248 is about 15791.3662486816. The cubic root of 249367248 is about 629.4285975478.

The spelling of 249367248 in words is "two hundred forty-nine million, three hundred sixty-seven thousand, two hundred forty-eight".