245787760 has 40 divisors (see below), whose sum is σ = 591167520. Its totient is φ = 94924032.

The previous prime is 245787757. The next prime is 245787791. The reversal of 245787760 is 67787542.

245787760 is digitally balanced in base 2, 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 (40).

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 245787760.

It is a congruent number.

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, 50652 + ... + 55291.

It is an arithmetic number, because the mean of its divisors is an integer number (14779188).

Almost surely, 2^245787760 is an apocalyptic number.

245787760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

245787760 is an abundant number, since it is smaller than the sum of its proper divisors (345379760).

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

245787760 is a wasteful number, since it uses less digits than its factorization.

245787760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105985 (or 105979 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 46.

The square root of 245787760 is about 15677.6197172913. The cubic root of 245787760 is about 626.4024060580.

The spelling of 245787760 in words is "two hundred forty-five million, seven hundred eighty-seven thousand, seven hundred sixty".