245361600 has 252 divisors, whose sum is σ = 951966600. Its totient is φ = 59443200.

The previous prime is 245361583. The next prime is 245361601. The reversal of 245361600 is 6163542.

245361600 is a `hidden beast` number, since 2 + 4 + 53 + 6 + 1 + 600 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245361601) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 157626 + ... + 159174.

Almost surely, 2^245361600 is an apocalyptic number.

245361600 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 245361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475983300).

245361600 is an abundant number, since it is smaller than the sum of its proper divisors (706605000).

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

245361600 is a wasteful number, since it uses less digits than its factorization.

245361600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 245361600 is about 15664.0224718940. The cubic root of 245361600 is about 626.0401665919.

The spelling of 245361600 in words is "two hundred forty-five million, three hundred sixty-one thousand, six hundred".