245145600 has 504 divisors, whose sum is σ = 1056375840. Its totient is φ = 53084160.

The previous prime is 245145577. The next prime is 245145629. The reversal of 245145600 is 6541542.

245145600 is a `hidden beast` number, since 2 + 4 + 51 + 4 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12902391 + ... + 12902409.

Almost surely, 2^245145600 is an apocalyptic number.

245145600 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 245145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528187920).

245145600 is an abundant number, since it is smaller than the sum of its proper divisors (811230240).

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

245145600 is a wasteful number, since it uses less digits than its factorization.

245145600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 245145600 is about 15657.1261730881. The cubic root of 245145600 is about 625.8564046444.

The spelling of 245145600 in words is "two hundred forty-five million, one hundred forty-five thousand, six hundred".