249615648 has 48 divisors (see below), whose sum is σ = 728048160. Its totient is φ = 83204928.

The previous prime is 249615647. The next prime is 249615649. The reversal of 249615648 is 846516942.

249615648 is a `hidden beast` number, since 2 + 496 + 156 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (249615647) and next prime (249615649).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×249615648³ (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (249615643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 143590 + ... + 145317.

It is an arithmetic number, because the mean of its divisors is an integer number (15167670).

Almost surely, 2^249615648 is an apocalyptic number.

It is an amenable number.

249615648 is an abundant number, since it is smaller than the sum of its proper divisors (478432512).

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

249615648 is a wasteful number, since it uses less digits than its factorization.

249615648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288926 (or 288912 counting only the distinct ones).

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

The square root of 249615648 is about 15799.2293482942. The cubic root of 249615648 is about 629.6375239125.

The spelling of 249615648 in words is "two hundred forty-nine million, six hundred fifteen thousand, six hundred forty-eight".