249210990 has 96 divisors (see below), whose sum is σ = 784105920. Its totient is φ = 53609472.

The previous prime is 249210971. The next prime is 249211013. The reversal of 249210990 is 99012942.

It is a super-2 number, since 2×249210990² = 124212235073560200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 925 + ... + 22344.

It is an arithmetic number, because the mean of its divisors is an integer number (8167770).

Almost surely, 2^249210990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249210990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392052960).

249210990 is an abundant number, since it is smaller than the sum of its proper divisors (534894930).

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

249210990 is a wasteful number, since it uses less digits than its factorization.

249210990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23306 (or 23303 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 249210990 is about 15786.4178964070. The cubic root of 249210990 is about 629.2970996532.

The spelling of 249210990 in words is "two hundred forty-nine million, two hundred ten thousand, nine hundred ninety".