245600 has 36 divisors (see below), whose sum is σ = 601524. Its totient is φ = 97920.

The previous prime is 245593. The next prime is 245621. The reversal of 245600 is 6542.

245600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 647 + ... + 953.

It is an arithmetic number, because the mean of its divisors is an integer number (16709).

2²⁴⁵⁶⁰⁰ is an apocalyptic number.

245600 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 245600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300762).

245600 is an abundant number, since it is smaller than the sum of its proper divisors (355924).

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

245600 is a wasteful number, since it uses less digits than its factorization.

245600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 245600 is about 495.5804677346. The cubic root of 245600 is about 62.6242860173.

The spelling of 245600 in words is "two hundred forty-five thousand, six hundred".