245631600 has 270 divisors, whose sum is σ = 893199528. Its totient is φ = 62496000.

The previous prime is 245631593. The next prime is 245631637. The reversal of 245631600 is 6136542.

245631600 is a `hidden beast` number, since 2 + 4 + 56 + 3 + 1 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

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 53 ways as a sum of consecutive naturals, for example, 3459565 + ... + 3459635.

Almost surely, 2^245631600 is an apocalyptic number.

245631600 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 245631600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446599764).

245631600 is an abundant number, since it is smaller than the sum of its proper divisors (647567928).

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

245631600 is a wasteful number, since it uses less digits than its factorization.

245631600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 112 counting only the distinct ones).

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

The square root of 245631600 is about 15672.6385781080. The cubic root of 245631600 is about 626.2697174281.

The spelling of 245631600 in words is "two hundred forty-five million, six hundred thirty-one thousand, six hundred".