245856 has 48 divisors (see below), whose sum is σ = 698544. Its totient is φ = 75264.

The previous prime is 245851. The next prime is 245863. The reversal of 245856 is 658542.

It is a tau number, because it is divible by the number of its divisors (48).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245851) by changing a digit.

245856 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, 1150 + ... + 1346.

It is an arithmetic number, because the mean of its divisors is an integer number (14553).

245856 is a Friedman number, since it can be written as 8*6*(5*4^5+2), using all its digits and the basic arithmetic operations.

2²⁴⁵⁸⁵⁶ is an apocalyptic number.

245856 is a gapful number since it is divisible by the number (26) 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 245856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349272).

245856 is an abundant number, since it is smaller than the sum of its proper divisors (452688).

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

245856 is a wasteful number, since it uses less digits than its factorization.

245856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 215 counting only the distinct ones).

The product of its digits is 9600, while the sum is 30.

The square root of 245856 is about 495.8386834445. The cubic root of 245856 is about 62.6460371712.

Subtracting 245856 from its reverse (658542), we obtain a triangular number (412686 = T₉₀₈).

The spelling of 245856 in words is "two hundred forty-five thousand, eight hundred fifty-six".