245906960 has 40 divisors (see below), whose sum is σ = 615715800. Its totient is φ = 90796032.

The previous prime is 245906953. The next prime is 245906993. The reversal of 245906960 is 69609542.

245906960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1547536 + 244359424 = 1244^2 + 15632^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117185 + ... + 119264.

It is an arithmetic number, because the mean of its divisors is an integer number (15392895).

Almost surely, 2^245906960 is an apocalyptic number.

245906960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

245906960 is an abundant number, since it is smaller than the sum of its proper divisors (369808840).

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

245906960 is a wasteful number, since it uses less digits than its factorization.

245906960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236475 (or 236469 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 41.

The square root of 245906960 is about 15681.4208539915. The cubic root of 245906960 is about 626.5036520809.

The spelling of 245906960 in words is "two hundred forty-five million, nine hundred six thousand, nine hundred sixty".