249340608 has 336 divisors, whose sum is σ = 855878400. Its totient is φ = 68597760.

The previous prime is 249340601. The next prime is 249340627. The reversal of 249340608 is 806043942.

It is a happy number.

249340608 is a `hidden beast` number, since 2 + 4 + 9 + 3 + 40 + 608 = 666.

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 (249340601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4226083 + ... + 4226141.

Almost surely, 2^249340608 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 249340608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427939200).

249340608 is an abundant number, since it is smaller than the sum of its proper divisors (606537792).

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

249340608 is a wasteful number, since it uses less digits than its factorization.

249340608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 249340608 is about 15790.5227272564. The cubic root of 249340608 is about 629.4061827157.

The spelling of 249340608 in words is "two hundred forty-nine million, three hundred forty thousand, six hundred eight".