249727744 has 144 divisors (see below), whose sum is σ = 609864192. Its totient is φ = 99753984.

The previous prime is 249727727. The next prime is 249727747. The reversal of 249727744 is 447727942.

It is a super-2 number, since 2×249727744² = 124727892246659072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a junction number, because it is equal to n+sod(n) for n = 249727694 and 249727703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249727747) 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 15 ways as a sum of consecutive naturals, for example, 3008727 + ... + 3008809.

It is an arithmetic number, because the mean of its divisors is an integer number (4235168).

Almost surely, 2^249727744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249727744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304932096).

249727744 is an abundant number, since it is smaller than the sum of its proper divisors (360136448).

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

249727744 is an equidigital number, since it uses as much as digits as its factorization.

249727744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 188 counting only the distinct ones).

The product of its digits is 790272, while the sum is 46.

The square root of 249727744 is about 15802.7764649127. The cubic root of 249727744 is about 629.7317611740.

The spelling of 249727744 in words is "two hundred forty-nine million, seven hundred twenty-seven thousand, seven hundred forty-four".