249846048 has 72 divisors (see below), whose sum is σ = 747910800. Its totient is φ = 78897024.

The previous prime is 249846043. The next prime is 249846053. The reversal of 249846048 is 840648942.

It is an interprime number because it is at equal distance from previous prime (249846043) and next prime (249846053).

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 249845994 and 249846012.

It is not an unprimeable number, because it can be changed into a prime (249846043) 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, 17358 + ... + 28301.

It is an arithmetic number, because the mean of its divisors is an integer number (10387650).

Almost surely, 2^249846048 is an apocalyptic number.

It is an amenable number.

249846048 is an abundant number, since it is smaller than the sum of its proper divisors (498064752).

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

249846048 is a wasteful number, since it uses less digits than its factorization.

249846048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45694 (or 45683 counting only the distinct ones).

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

The square root of 249846048 is about 15806.5191614093. The cubic root of 249846048 is about 629.8311868177.

The spelling of 249846048 in words is "two hundred forty-nine million, eight hundred forty-six thousand, forty-eight".