245645600 has 72 divisors (see below), whose sum is σ = 603086400. Its totient is φ = 97701120.

The previous prime is 245645579. The next prime is 245645611. The reversal of 245645600 is 6546542.

245645600 is nontrivially palindromic in base 9.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 158429 + ... + 159971.

It is an arithmetic number, because the mean of its divisors is an integer number (8376200).

Almost surely, 2^245645600 is an apocalyptic number.

245645600 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 245645600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301543200).

245645600 is an abundant number, since it is smaller than the sum of its proper divisors (357440800).

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

245645600 is a wasteful number, since it uses less digits than its factorization.

245645600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762 (or 1749 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 245645600 is about 15673.0852100025. The cubic root of 245645600 is about 626.2816154758.

The spelling of 245645600 in words is "two hundred forty-five million, six hundred forty-five thousand, six hundred".