249406848 has 96 divisors (see below), whose sum is σ = 748977840. Its totient is φ = 79512576.

The previous prime is 249406841. The next prime is 249406849. The reversal of 249406848 is 848604942.

249406848 is digitally balanced in base 2, 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 (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249406841) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21790 + ... + 31202.

Almost surely, 2^249406848 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 249406848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374488920).

249406848 is an abundant number, since it is smaller than the sum of its proper divisors (499570992).

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

249406848 is a wasteful number, since it uses less digits than its factorization.

249406848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9456 (or 9441 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 249406848 is about 15792.6200486176. The cubic root of 249406848 is about 629.4619139427.

The spelling of 249406848 in words is "two hundred forty-nine million, four hundred six thousand, eight hundred forty-eight".