249649504 has 96 divisors (see below), whose sum is σ = 550579680. Its totient is φ = 111361536.

The previous prime is 249649501. The next prime is 249649507. The reversal of 249649504 is 405946942.

It is an interprime number because it is at equal distance from previous prime (249649501) and next prime (249649507).

It is a Smith number, since the sum of its digits (43) 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 (249649501) 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 15 ways as a sum of consecutive naturals, for example, 3726079 + ... + 3726145.

It is an arithmetic number, because the mean of its divisors is an integer number (5735205).

Almost surely, 2^249649504 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 249649504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275289840).

249649504 is an abundant number, since it is smaller than the sum of its proper divisors (300930176).

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

249649504 is an equidigital number, since it uses as much as digits as its factorization.

249649504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 43.

The square root of 249649504 is about 15800.3007566312. The cubic root of 249649504 is about 629.6659890675.

The spelling of 249649504 in words is "two hundred forty-nine million, six hundred forty-nine thousand, five hundred four".