249032016 has 80 divisors (see below), whose sum is σ = 723961600. Its totient is φ = 81948672.

The previous prime is 249032011. The next prime is 249032023. The reversal of 249032016 is 610230942.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249032011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30480 + ... + 37776.

It is an arithmetic number, because the mean of its divisors is an integer number (9049520).

Almost surely, 2^249032016 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 249032016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361980800).

249032016 is an abundant number, since it is smaller than the sum of its proper divisors (474929584).

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

249032016 is a wasteful number, since it uses less digits than its factorization.

249032016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7393 (or 7381 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 249032016 is about 15780.7482712323. The cubic root of 249032016 is about 629.1464177062.

Adding to 249032016 its reverse (610230942), we get a palindrome (859262958).

The spelling of 249032016 in words is "two hundred forty-nine million, thirty-two thousand, sixteen".