249070864 has 80 divisors (see below), whose sum is σ = 594247680. Its totient is φ = 98778240.

The previous prime is 249070837. The next prime is 249070873. The reversal of 249070864 is 468070942.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78297 + ... + 81415.

It is an arithmetic number, because the mean of its divisors is an integer number (7428096).

Almost surely, 2^249070864 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 249070864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297123840).

249070864 is an abundant number, since it is smaller than the sum of its proper divisors (345176816).

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

249070864 is a wasteful number, since it uses less digits than its factorization.

249070864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3188 (or 3182 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 249070864 is about 15781.9790900888. The cubic root of 249070864 is about 629.1791307814.

The spelling of 249070864 in words is "two hundred forty-nine million, seventy thousand, eight hundred sixty-four".