249585006 has 48 divisors (see below), whose sum is σ = 572568192. Its totient is φ = 72338640.

The previous prime is 249585001. The next prime is 249585019. The reversal of 249585006 is 600585942.

249585006 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249585001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9225 + ... + 24171.

It is an arithmetic number, because the mean of its divisors is an integer number (11928504).

Almost surely, 2^249585006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249585006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286284096).

249585006 is an abundant number, since it is smaller than the sum of its proper divisors (322983186).

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

249585006 is a wasteful number, since it uses less digits than its factorization.

249585006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14997 (or 14986 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 249585006 is about 15798.2595876888. The cubic root of 249585006 is about 629.6117587776.

The spelling of 249585006 in words is "two hundred forty-nine million, five hundred eighty-five thousand, six".