249736064 has 32 divisors (see below), whose sum is σ = 503839200. Its totient is φ = 123282432.

The previous prime is 249736061. The next prime is 249736073. The reversal of 249736064 is 460637942.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249736061) 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 3 ways as a sum of consecutive naturals, for example, 2237 + ... + 22460.

It is an arithmetic number, because the mean of its divisors is an integer number (15744975).

Almost surely, 2^249736064 is an apocalyptic number.

It is an amenable number.

249736064 is an abundant number, since it is smaller than the sum of its proper divisors (254103136).

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

249736064 is an equidigital number, since it uses as much as digits as its factorization.

249736064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24790 (or 24778 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 41.

The square root of 249736064 is about 15803.0397076006. The cubic root of 249736064 is about 629.7387545367.

The spelling of 249736064 in words is "two hundred forty-nine million, seven hundred thirty-six thousand, sixty-four".