245052960 has 192 divisors, whose sum is σ = 832809600. Its totient is φ = 60342272.

The previous prime is 245052949. The next prime is 245052989. The reversal of 245052960 is 69250542.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 481186 + ... + 481694.

It is an arithmetic number, because the mean of its divisors is an integer number (4337550).

Almost surely, 2^245052960 is an apocalyptic number.

245052960 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 245052960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416404800).

245052960 is an abundant number, since it is smaller than the sum of its proper divisors (587756640).

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

245052960 is a wasteful number, since it uses less digits than its factorization.

245052960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 245052960 is about 15654.1674962292. The cubic root of 245052960 is about 625.7775581109. Note that the first 3 decimals are identical.

The spelling of 245052960 in words is "two hundred forty-five million, fifty-two thousand, nine hundred sixty".