249364608 has 64 divisors (see below), whose sum is σ = 680315520. Its totient is φ = 80870400.

The previous prime is 249364603. The next prime is 249364613. The reversal of 249364608 is 806463942.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (249364603) and next prime (249364613).

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 249364608.

It is not an unprimeable number, because it can be changed into a prime (249364603) 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, 5433 + ... + 22983.

It is an arithmetic number, because the mean of its divisors is an integer number (10629930).

Almost surely, 2^249364608 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 249364608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340157760).

249364608 is an abundant number, since it is smaller than the sum of its proper divisors (430950912).

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

249364608 is a wasteful number, since it uses less digits than its factorization.

249364608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17605 (or 17593 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 249364608 is about 15791.2826584796. The cubic root of 249364608 is about 629.4263763294.

The spelling of 249364608 in words is "two hundred forty-nine million, three hundred sixty-four thousand, six hundred eight".