249090912 has 216 divisors, whose sum is σ = 868303800. Its totient is φ = 67350528.

The previous prime is 249090911. The next prime is 249090913. The reversal of 249090912 is 219090942.

249090912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (249090911) and next prime (249090913).

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 (249090911) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 267664 + ... + 268592.

It is an arithmetic number, because the mean of its divisors is an integer number (4019925).

Almost surely, 2^249090912 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 249090912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434151900).

249090912 is an abundant number, since it is smaller than the sum of its proper divisors (619212888).

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

249090912 is a wasteful number, since it uses less digits than its factorization.

249090912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 960 counting only the distinct ones).

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

The square root of 249090912 is about 15782.6142321226. The cubic root of 249090912 is about 629.1960114456.

The spelling of 249090912 in words is "two hundred forty-nine million, ninety thousand, nine hundred twelve".