245280 has 96 divisors (see below), whose sum is σ = 895104. Its totient is φ = 55296.

The previous prime is 245279. The next prime is 245291. The reversal of 245280 is 82542.

245280 = 18² + 19² + ... + 90².

245280 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 (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 3324 + ... + 3396.

It is an arithmetic number, because the mean of its divisors is an integer number (9324).

2²⁴⁵²⁸⁰ is an apocalyptic number.

245280 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 245280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447552).

245280 is an abundant number, since it is smaller than the sum of its proper divisors (649824).

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

245280 is a wasteful number, since it uses less digits than its factorization.

245280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 245280 is about 495.2575087770. The cubic root of 245280 is about 62.5970758092.

It can be divided in two parts, 245 and 280, that added together give a palindrome (525).

The spelling of 245280 in words is "two hundred forty-five thousand, two hundred eighty".