245960000 has 280 divisors, whose sum is σ = 733190304. Its totient is φ = 80640000.

The previous prime is 245959993. The next prime is 245960003. The reversal of 245960000 is 69542.

245960000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245960003) 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 39 ways as a sum of consecutive naturals, for example, 5719979 + ... + 5720021.

Almost surely, 2^245960000 is an apocalyptic number.

245960000 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 245960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366595152).

245960000 is an abundant number, since it is smaller than the sum of its proper divisors (487230304).

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

245960000 is a wasteful number, since it uses less digits than its factorization.

245960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 245960000 is about 15683.1119360923. Note that the first 3 decimals coincide. The cubic root of 245960000 is about 626.5486926454.

The spelling of 245960000 in words is "two hundred forty-five million, nine hundred sixty thousand".