249727720 has 128 divisors (see below), whose sum is σ = 638668800. Its totient is φ = 87091200.

The previous prime is 249727669. The next prime is 249727727. The reversal of 249727720 is 27727942.

249727720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (249727727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1966297 + ... + 1966423.

It is an arithmetic number, because the mean of its divisors is an integer number (4989600).

Almost surely, 2^249727720 is an apocalyptic number.

249727720 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 249727720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319334400).

249727720 is an abundant number, since it is smaller than the sum of its proper divisors (388941080).

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

249727720 is a wasteful number, since it uses less digits than its factorization.

249727720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 40.

The square root of 249727720 is about 15802.7757055525. The cubic root of 249727720 is about 629.7317410006.

The spelling of 249727720 in words is "two hundred forty-nine million, seven hundred twenty-seven thousand, seven hundred twenty".