245688760 has 96 divisors (see below), whose sum is σ = 612768240. Its totient is φ = 88343552.

The previous prime is 245688757. The next prime is 245688809. The reversal of 245688760 is 67886542.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 245688760.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 359379 + ... + 360061.

Almost surely, 2^245688760 is an apocalyptic number.

245688760 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 245688760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306384120).

245688760 is an abundant number, since it is smaller than the sum of its proper divisors (367079480).

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

245688760 is a wasteful number, since it uses less digits than its factorization.

245688760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 46.

The square root of 245688760 is about 15674.4620322357. The cubic root of 245688760 is about 626.3182926123.

The spelling of 245688760 in words is "two hundred forty-five million, six hundred eighty-eight thousand, seven hundred sixty".