245563120 has 80 divisors (see below), whose sum is σ = 626825952. Its totient is φ = 88724480.

The previous prime is 245563103. The next prime is 245563139. The reversal of 245563120 is 21365542.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151434 + ... + 153046.

Almost surely, 2^245563120 is an apocalyptic number.

245563120 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 245563120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313412976).

245563120 is an abundant number, since it is smaller than the sum of its proper divisors (381262832).

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

245563120 is a wasteful number, since it uses less digits than its factorization.

245563120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1810 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 245563120 is about 15670.4537266794. The cubic root of 245563120 is about 626.2115124627.

It can be divided in two parts, 245 and 563120, that added together give a palindrome (563365).

The spelling of 245563120 in words is "two hundred forty-five million, five hundred sixty-three thousand, one hundred twenty".