245006960 has 80 divisors (see below), whose sum is σ = 626209920. Its totient is φ = 88408320.

The previous prime is 245006959. The next prime is 245006963. The reversal of 245006960 is 69600542.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245006963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121319 + ... + 123321.

It is an arithmetic number, because the mean of its divisors is an integer number (7827624).

Almost surely, 2^245006960 is an apocalyptic number.

245006960 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 245006960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313104960).

245006960 is an abundant number, since it is smaller than the sum of its proper divisors (381202960).

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

245006960 is a wasteful number, since it uses less digits than its factorization.

245006960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2166 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 245006960 is about 15652.6981699642. The cubic root of 245006960 is about 625.7383998149.

The spelling of 245006960 in words is "two hundred forty-five million, six thousand, nine hundred sixty".