249651648 has 84 divisors (see below), whose sum is σ = 726373960. Its totient is φ = 81962496.

The previous prime is 249651631. The next prime is 249651667. The reversal of 249651648 is 846156942.

249651648 is a `hidden beast` number, since 2 + 4 + 96 + 516 + 48 = 666.

249651648 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35358 + ... + 41826.

Almost surely, 2^249651648 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 249651648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363186980).

249651648 is an abundant number, since it is smaller than the sum of its proper divisors (476722312).

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

249651648 is a wasteful number, since it uses less digits than its factorization.

249651648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6554 (or 6541 counting only the distinct ones).

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

The square root of 249651648 is about 15800.3686032953. The cubic root of 249651648 is about 629.6677915946.

The spelling of 249651648 in words is "two hundred forty-nine million, six hundred fifty-one thousand, six hundred forty-eight".