245893760 has 96 divisors (see below), whose sum is σ = 683900820. Its totient is φ = 84295680.

The previous prime is 245893751. The next prime is 245893771. The reversal of 245893760 is 67398542.

It is a Cunningham number, because it is equal to 15681²-1.

It can be written as a sum of positive squares in 2 ways, for example, as 240622144 + 5271616 = 15512^2 + 2296^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27440 + ... + 35280.

Almost surely, 2^245893760 is an apocalyptic number.

245893760 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 245893760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341950410).

245893760 is an abundant number, since it is smaller than the sum of its proper divisors (438007060).

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

245893760 is an equidigital number, since it uses as much as digits as its factorization.

245893760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7874 (or 7855 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 44.

The square root of 245893760 is about 15680.9999681143. Note that the first 4 decimals coincide. The cubic root of 245893760 is about 626.4924418842.

The spelling of 245893760 in words is "two hundred forty-five million, eight hundred ninety-three thousand, seven hundred sixty".