245993000 has 192 divisors, whose sum is σ = 672235200. Its totient is φ = 83952000.

The previous prime is 245992973. The next prime is 245993003. The reversal of 245993000 is 399542.

It is not an unprimeable number, because it can be changed into a prime (245993003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2298947 + ... + 2299053.

It is an arithmetic number, because the mean of its divisors is an integer number (3501225).

Almost surely, 2^245993000 is an apocalyptic number.

245993000 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 245993000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336117600).

245993000 is an abundant number, since it is smaller than the sum of its proper divisors (426242200).

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

245993000 is a wasteful number, since it uses less digits than its factorization.

245993000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 32.

The square root of 245993000 is about 15684.1639879211. The cubic root of 245993000 is about 626.5767123535.

It can be divided in two parts, 2459 and 93000, that added together give a palindrome (95459).

The spelling of 245993000 in words is "two hundred forty-five million, nine hundred ninety-three thousand".