245741568 has 192 divisors, whose sum is σ = 717050880. Its totient is φ = 74612736.

The previous prime is 245741567. The next prime is 245741597. The reversal of 245741568 is 865147542.

It is a happy number.

245741568 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

Its product of digits (268800) is a multiple of the sum of its prime divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245741567) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5228521 + ... + 5228567.

It is an arithmetic number, because the mean of its divisors is an integer number (3734640).

Almost surely, 2^245741568 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 245741568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358525440).

245741568 is an abundant number, since it is smaller than the sum of its proper divisors (471309312).

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

245741568 is a wasteful number, since it uses less digits than its factorization.

245741568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 112 counting only the distinct ones).

The product of its digits is 268800, while the sum is 42.

The square root of 245741568 is about 15676.1464652510. The cubic root of 245741568 is about 626.3631627250.

The spelling of 245741568 in words is "two hundred forty-five million, seven hundred forty-one thousand, five hundred sixty-eight".