249085008 has 30 divisors (see below), whose sum is σ = 697092474. Its totient is φ = 83028288.

The previous prime is 249084991. The next prime is 249085013. The reversal of 249085008 is 800580942.

249085008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 223562304 + 25522704 = 14952^2 + 5052^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 864735 + ... + 865022.

Almost surely, 2^249085008 is an apocalyptic number.

It is an amenable number.

249085008 is an abundant number, since it is smaller than the sum of its proper divisors (448007466).

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

249085008 is a wasteful number, since it uses less digits than its factorization.

249085008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1729771 (or 1729762 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 249085008 is about 15782.4271897576. The cubic root of 249085008 is about 629.1910402986.

The spelling of 249085008 in words is "two hundred forty-nine million, eighty-five thousand, eight".