245705600 has 144 divisors (see below), whose sum is σ = 706517280. Its totient is φ = 84188160.

The previous prime is 245705599. The next prime is 245705611. The reversal of 245705600 is 6507542.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 156017 + ... + 157583.

It is an arithmetic number, because the mean of its divisors is an integer number (4906370).

Almost surely, 2^245705600 is an apocalyptic number.

245705600 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 245705600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353258640).

245705600 is an abundant number, since it is smaller than the sum of its proper divisors (460811680).

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

245705600 is a wasteful number, since it uses less digits than its factorization.

245705600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1605 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 29.

The square root of 245705600 is about 15674.9992025518. Note that the first 3 decimals coincide. The cubic root of 245705600 is about 626.3326019890.

The spelling of 245705600 in words is "two hundred forty-five million, seven hundred five thousand, six hundred".