245721600 has 360 divisors, whose sum is σ = 923482560. Its totient is φ = 64696320.

The previous prime is 245721571. The next prime is 245721601. The reversal of 245721600 is 6127542.

245721600 is a `hidden beast` number, since 2 + 4 + 57 + 2 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (245721601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3110361 + ... + 3110439.

Almost surely, 2^245721600 is an apocalyptic number.

245721600 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 245721600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461741280).

245721600 is an abundant number, since it is smaller than the sum of its proper divisors (677760960).

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

245721600 is an frugal number, since it uses more digits than its factorization.

245721600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 245721600 is about 15675.5095610956. The cubic root of 245721600 is about 626.3461969907.

The spelling of 245721600 in words is "two hundred forty-five million, seven hundred twenty-one thousand, six hundred".