245888 has 32 divisors (see below), whose sum is σ = 523260. Its totient is φ = 114688.

The previous prime is 245881. The next prime is 245897. The reversal of 245888 is 888542.

It can be written as a sum of positive squares in 2 ways, for example, as 238144 + 7744 = 488^2 + 88^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a plaindrome in base 10.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 245888.

It is not an unprimeable number, because it can be changed into a prime (245881) by changing a digit.

245888 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2120 + ... + 2232.

2²⁴⁵⁸⁸⁸ 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 245888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261630).

245888 is an abundant number, since it is smaller than the sum of its proper divisors (277372).

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

245888 is a wasteful number, since it uses less digits than its factorization.

245888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 132 counting only the distinct ones).

The product of its digits is 20480, while the sum is 35.

The square root of 245888 is about 495.8709509540. The cubic root of 245888 is about 62.6487550036.

The spelling of 245888 in words is "two hundred forty-five thousand, eight hundred eighty-eight".