249746112 has 224 divisors, whose sum is σ = 915863040. Its totient is φ = 64834560.

The previous prime is 249746093. The next prime is 249746149. The reversal of 249746112 is 211647942.

It is a happy number.

249746112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 132118 + ... + 133994.

Almost surely, 2^249746112 is an apocalyptic number.

249746112 is a gapful number since it is divisible by the number (22) 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 249746112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457931520).

249746112 is an abundant number, since it is smaller than the sum of its proper divisors (666116928).

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

249746112 is a wasteful number, since it uses less digits than its factorization.

249746112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1916 (or 1900 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 249746112 is about 15803.3576179241. The cubic root of 249746112 is about 629.7472001600.

The spelling of 249746112 in words is "two hundred forty-nine million, seven hundred forty-six thousand, one hundred twelve".