249046272 has 144 divisors (see below), whose sum is σ = 744670080. Its totient is φ = 82096128.

The previous prime is 249046271. The next prime is 249046283. The reversal of 249046272 is 272640942.

249046272 is a `hidden beast` number, since 24 + 9 + 0 + 4 + 627 + 2 = 666.

249046272 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249046271) 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, 946813 + ... + 947075.

It is an arithmetic number, because the mean of its divisors is an integer number (5171320).

Almost surely, 2^249046272 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 249046272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372335040).

249046272 is an abundant number, since it is smaller than the sum of its proper divisors (495623808).

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

249046272 is a wasteful number, since it uses less digits than its factorization.

249046272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 249046272 is about 15781.1999543761. The cubic root of 249046272 is about 629.1584227760.

The spelling of 249046272 in words is "two hundred forty-nine million, forty-six thousand, two hundred seventy-two".