245796768 has 480 divisors, whose sum is σ = 936714240. Its totient is φ = 61585920.

The previous prime is 245796757. The next prime is 245796823. The reversal of 245796768 is 867697542.

245796768 is a `hidden beast` number, since 2 + 4 + 579 + 6 + 7 + 68 = 666.

245796768 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 (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7928913 + ... + 7928943.

It is an arithmetic number, because the mean of its divisors is an integer number (1951488).

Almost surely, 2^245796768 is an apocalyptic number.

245796768 is a gapful number since it is divisible by the number (28) 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 245796768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468357120).

245796768 is an abundant number, since it is smaller than the sum of its proper divisors (690917472).

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

245796768 is a wasteful number, since it uses less digits than its factorization.

245796768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 85 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The square root of 245796768 is about 15677.9070031685. The cubic root of 245796768 is about 626.4100584107.

It can be divided in two parts, 2457 and 96768, that added together give a square (99225 = 315²).

The spelling of 245796768 in words is "two hundred forty-five million, seven hundred ninety-six thousand, seven hundred sixty-eight".