249481908 has 72 divisors (see below), whose sum is σ = 682945536. Its totient is φ = 76334400.

The previous prime is 249481889. The next prime is 249481909. The reversal of 249481908 is 809184942.

It is a super-3 number, since 3×249481908³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249481909) 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 23 ways as a sum of consecutive naturals, for example, 87993 + ... + 90783.

Almost surely, 2^249481908 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 249481908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341472768).

249481908 is an abundant number, since it is smaller than the sum of its proper divisors (433463628).

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

249481908 is a wasteful number, since it uses less digits than its factorization.

249481908 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3005 (or 3000 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 249481908 is about 15794.9962962959. The cubic root of 249481908 is about 629.5250539790.

Adding to 249481908 its sum of digits (45), we get a triangular number (249481953 = T₂₂₃₃₇).

The spelling of 249481908 in words is "two hundred forty-nine million, four hundred eighty-one thousand, nine hundred eight".