249265016 has 128 divisors (see below), whose sum is σ = 664796160. Its totient is φ = 84326400.

The previous prime is 249265013. The next prime is 249265039. The reversal of 249265016 is 610562942.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249265013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135221 + ... + 137051.

It is an arithmetic number, because the mean of its divisors is an integer number (5193720).

Almost surely, 2^249265016 is an apocalyptic number.

249265016 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249265016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332398080).

249265016 is an abundant number, since it is smaller than the sum of its proper divisors (415531144).

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

249265016 is a wasteful number, since it uses less digits than its factorization.

249265016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1885 (or 1881 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 249265016 is about 15788.1289581761. The cubic root of 249265016 is about 629.3425710943.

The spelling of 249265016 in words is "two hundred forty-nine million, two hundred sixty-five thousand, sixteen".