245927760 has 80 divisors (see below), whose sum is σ = 821030784. Its totient is φ = 60535296.

The previous prime is 245927723. The next prime is 245927767. The reversal of 245927760 is 67729542.

245927760 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 (80).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245927767) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 36292 + ... + 42531.

Almost surely, 2^245927760 is an apocalyptic number.

245927760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

245927760 is an abundant number, since it is smaller than the sum of its proper divisors (575103024).

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

245927760 is a wasteful number, since it uses less digits than its factorization.

245927760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78852 (or 78846 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 245927760 is about 15682.0840451772. The cubic root of 245927760 is about 626.5213158192.

The spelling of 245927760 in words is "two hundred forty-five million, nine hundred twenty-seven thousand, seven hundred sixty".