245759680 has 112 divisors (see below), whose sum is σ = 624718080. Its totient is φ = 91819008.

The previous prime is 245759671. The next prime is 245759711. The reversal of 245759680 is 86957542.

It is a self number, because there is not a number n which added to its sum of digits gives 245759680.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 504397 + ... + 504883.

It is an arithmetic number, because the mean of its divisors is an integer number (5577840).

Almost surely, 2^245759680 is an apocalyptic number.

245759680 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 245759680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312359040).

245759680 is an abundant number, since it is smaller than the sum of its proper divisors (378958400).

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

245759680 is a wasteful number, since it uses less digits than its factorization.

245759680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 46.

The square root of 245759680 is about 15676.7241476018. The cubic root of 245759680 is about 626.3785507211.

The spelling of 245759680 in words is "two hundred forty-five million, seven hundred fifty-nine thousand, six hundred eighty".