245805600 has 288 divisors, whose sum is σ = 860194944. Its totient is φ = 60825600.

The previous prime is 245805589. The next prime is 245805607. The reversal of 245805600 is 6508542.

245805600 is digitally balanced in base 3, 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (245805607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3367164 + ... + 3367236.

It is an arithmetic number, because the mean of its divisors is an integer number (2986788).

Almost surely, 2^245805600 is an apocalyptic number.

245805600 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 245805600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430097472).

245805600 is an abundant number, since it is smaller than the sum of its proper divisors (614389344).

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

245805600 is a wasteful number, since it uses less digits than its factorization.

245805600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 167 counting only the distinct ones).

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

The square root of 245805600 is about 15678.1886708892. The cubic root of 245805600 is about 626.4175610689.

The spelling of 245805600 in words is "two hundred forty-five million, eight hundred five thousand, six hundred".