245980 has 36 divisors (see below), whose sum is σ = 603288. Its totient is φ = 84000.

The previous prime is 245977. The next prime is 245981. The reversal of 245980 is 89542.

245980 = 4³ + 5³ + ... + 31³.

It is a happy number.

245980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245981) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 855 + ... + 1105.

It is an arithmetic number, because the mean of its divisors is an integer number (16758).

2²⁴⁵⁹⁸⁰ is an apocalyptic number.

245980 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 245980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301644).

245980 is an abundant number, since it is smaller than the sum of its proper divisors (357308).

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

245980 is a wasteful number, since it uses less digits than its factorization.

245980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 245980 is about 495.9637083497. The cubic root of 245980 is about 62.6565674586.

It can be divided in two parts, 245 and 980, that multiplied together give a square (240100 = 490²).

The spelling of 245980 in words is "two hundred forty-five thousand, nine hundred eighty".