245730600 has 144 divisors (see below), whose sum is σ = 830437920. Its totient is φ = 65116800.

The previous prime is 245730599. The next prime is 245730619. The reversal of 245730600 is 6037542.

It is a happy number.

245730600 is a `hidden beast` number, since 2 + 4 + 57 + 3 + 0 + 600 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 379477 + ... + 380123.

It is an arithmetic number, because the mean of its divisors is an integer number (5766930).

Almost surely, 2^245730600 is an apocalyptic number.

245730600 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 245730600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415218960).

245730600 is an abundant number, since it is smaller than the sum of its proper divisors (584707320).

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

245730600 is a wasteful number, since it uses less digits than its factorization.

245730600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 245730600 is about 15675.7966304746. The cubic root of 245730600 is about 626.3538439198.

The spelling of 245730600 in words is "two hundred forty-five million, seven hundred thirty thousand, six hundred".