245633280 has 144 divisors (see below), whose sum is σ = 801771264. Its totient is φ = 64061440.

The previous prime is 245633279. The next prime is 245633293. The reversal of 245633280 is 82336542.

It is a happy number.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179800 + ... + 181160.

It is an arithmetic number, because the mean of its divisors is an integer number (5567856).

Almost surely, 2^245633280 is an apocalyptic number.

245633280 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 245633280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400885632).

245633280 is an abundant number, since it is smaller than the sum of its proper divisors (556137984).

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

245633280 is a wasteful number, since it uses less digits than its factorization.

245633280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1432 (or 1418 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 245633280 is about 15672.6921746074. The cubic root of 245633280 is about 626.2711452177.

The spelling of 245633280 in words is "two hundred forty-five million, six hundred thirty-three thousand, two hundred eighty".