245856000 has 288 divisors, whose sum is σ = 883891008. Its totient is φ = 60211200.

The previous prime is 245855971. The next prime is 245856019. The reversal of 245856000 is 658542.

245856000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1247902 + ... + 1248098.

It is an arithmetic number, because the mean of its divisors is an integer number (3069066).

Almost surely, 2^245856000 is an apocalyptic number.

245856000 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 245856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441945504).

245856000 is an abundant number, since it is smaller than the sum of its proper divisors (638035008).

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

245856000 is a wasteful number, since it uses less digits than its factorization.

245856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 220 counting only the distinct ones).

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

The square root of 245856000 is about 15679.7959170392. The cubic root of 245856000 is about 626.4603717121.

The spelling of 245856000 in words is "two hundred forty-five million, eight hundred fifty-six thousand".