249219720 has 256 divisors, whose sum is σ = 884736000. Its totient is φ = 62270208.

The previous prime is 249219703. The next prime is 249219739. The reversal of 249219720 is 27912942.

249219720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×249219720² = 124220937673756800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1962297 + ... + 1962423.

It is an arithmetic number, because the mean of its divisors is an integer number (3456000).

Almost surely, 2^249219720 is an apocalyptic number.

249219720 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 249219720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442368000).

249219720 is an abundant number, since it is smaller than the sum of its proper divisors (635516280).

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

249219720 is a wasteful number, since it uses less digits than its factorization.

249219720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 249219720 is about 15786.6943974982. The cubic root of 249219720 is about 629.3044477769.

The spelling of 249219720 in words is "two hundred forty-nine million, two hundred nineteen thousand, seven hundred twenty".