249506220 has 48 divisors (see below), whose sum is σ = 699326208. Its totient is φ = 66467520.

The previous prime is 249506203. The next prime is 249506267. The reversal of 249506220 is 22605942.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 92937 + ... + 95583.

It is an arithmetic number, because the mean of its divisors is an integer number (14569296).

Almost surely, 2^249506220 is an apocalyptic number.

249506220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

249506220 is an abundant number, since it is smaller than the sum of its proper divisors (449819988).

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

249506220 is a wasteful number, since it uses less digits than its factorization.

249506220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4230 (or 4228 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 249506220 is about 15795.7658883639. The cubic root of 249506220 is about 629.5455023769.

The spelling of 249506220 in words is "two hundred forty-nine million, five hundred six thousand, two hundred twenty".