245538820 has 24 divisors (see below), whose sum is σ = 545963544. Its totient is φ = 92438016.

The previous prime is 245538809. The next prime is 245538829. The reversal of 245538820 is 28835542.

245538820 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 11999296 + 233539524 = 3464^2 + 15282^2 .

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 245538820.

It is not an unprimeable number, because it can be changed into a prime (245538829) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 360747 + ... + 361426.

It is an arithmetic number, because the mean of its divisors is an integer number (22748481).

Almost surely, 2^245538820 is an apocalyptic number.

245538820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

245538820 is an abundant number, since it is smaller than the sum of its proper divisors (300424724).

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

245538820 is a wasteful number, since it uses less digits than its factorization.

245538820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722199 (or 722197 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 37.

The square root of 245538820 is about 15669.6783630041. The cubic root of 245538820 is about 626.1908559383.

The spelling of 245538820 in words is "two hundred forty-five million, five hundred thirty-eight thousand, eight hundred twenty".