249380208 has 480 divisors, whose sum is σ = 974937600. Its totient is φ = 60963840.

The previous prime is 249380203. The next prime is 249380273. The reversal of 249380208 is 802083942.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249380203) 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 95 ways as a sum of consecutive naturals, for example, 14669416 + ... + 14669432.

It is an arithmetic number, because the mean of its divisors is an integer number (2031120).

Almost surely, 2^249380208 is an apocalyptic number.

249380208 is a gapful number since it is divisible by the number (28) 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 249380208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487468800).

249380208 is an abundant number, since it is smaller than the sum of its proper divisors (725557392).

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

249380208 is a wasteful number, since it uses less digits than its factorization.

249380208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 249380208 is about 15791.7765941644. The cubic root of 249380208 is about 629.4395014835.

The spelling of 249380208 in words is "two hundred forty-nine million, three hundred eighty thousand, two hundred eight".