245808 has 40 divisors (see below), whose sum is σ = 706800. Its totient is φ = 81792.

The previous prime is 245789. The next prime is 245821. The reversal of 245808 is 808542.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a zygodrome in base 2.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 245808.

It is an unprimeable number.

245808 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148 + ... + 716.

It is an arithmetic number, because the mean of its divisors is an integer number (17670).

2²⁴⁵⁸⁰⁸ 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 245808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353400).

245808 is an abundant number, since it is smaller than the sum of its proper divisors (460992).

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

245808 is a wasteful number, since it uses less digits than its factorization.

245808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 245808 is about 495.7902782427. The cubic root of 245808 is about 62.6419599804.

It can be divided in two parts, 24 and 5808, that added together give a cube (5832 = 18³).

The spelling of 245808 in words is "two hundred forty-five thousand, eight hundred eight".