249081920 has 56 divisors (see below), whose sum is σ = 594628224. Its totient is φ = 99380736.

The previous prime is 249081919. The next prime is 249081923. The reversal of 249081920 is 29180942.

It is not an unprimeable number, because it can be changed into a prime (249081923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 174329 + ... + 175751.

Almost surely, 2^249081920 is an apocalyptic number.

249081920 is a gapful number since it is divisible by the number (20) 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 249081920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297314112).

249081920 is an abundant number, since it is smaller than the sum of its proper divisors (345546304).

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

249081920 is a wasteful number, since it uses less digits than its factorization.

249081920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1987 (or 1977 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 249081920 is about 15782.3293591282. The cubic root of 249081920 is about 629.1884401823.

The spelling of 249081920 in words is "two hundred forty-nine million, eighty-one thousand, nine hundred twenty".