249304660 has 96 divisors (see below), whose sum is σ = 609638400. Its totient is φ = 84633600.

The previous prime is 249304639. The next prime is 249304661. The reversal of 249304660 is 66403942.

249304660 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 (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249304661) 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, 714166 + ... + 714514.

It is an arithmetic number, because the mean of its divisors is an integer number (6350400).

Almost surely, 2^249304660 is an apocalyptic number.

249304660 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 249304660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304819200).

249304660 is an abundant number, since it is smaller than the sum of its proper divisors (360333740).

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

249304660 is a wasteful number, since it uses less digits than its factorization.

249304660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The square root of 249304660 is about 15789.3844085195. The cubic root of 249304660 is about 629.3759336238.

The spelling of 249304660 in words is "two hundred forty-nine million, three hundred four thousand, six hundred sixty".