245703680 has 88 divisors (see below), whose sum is σ = 605797368. Its totient is φ = 95551488.

The previous prime is 245703659. The next prime is 245703683. The reversal of 245703680 is 86307542.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 154157056 + 91546624 = 12416^2 + 9568^2 .

It is a super-3 number, since 3×245703680³ (a number of 26 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 245703680.

It is not an unprimeable number, because it can be changed into a prime (245703683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 188792 + ... + 190088.

It is an arithmetic number, because the mean of its divisors is an integer number (6884061).

Almost surely, 2^245703680 is an apocalyptic number.

245703680 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 245703680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302898684).

245703680 is an abundant number, since it is smaller than the sum of its proper divisors (360093688).

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

245703680 is a wasteful number, since it uses less digits than its factorization.

245703680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 245703680 is about 15674.9379584099. The cubic root of 245703680 is about 626.3309705492.

The spelling of 245703680 in words is "two hundred forty-five million, seven hundred three thousand, six hundred eighty".