968205450 has 48 divisors (see below), whose sum is σ = 2411202816. Its totient is φ = 257107200.

The previous prime is 968205449. The next prime is 968205461. The reversal of 968205450 is 54502869.

968205450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 968205399 and 968205408.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22759 + ... + 49541.

It is an arithmetic number, because the mean of its divisors is an integer number (50233392).

Almost surely, 2^968205450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 968205450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205601408).

968205450 is an abundant number, since it is smaller than the sum of its proper divisors (1442997366).

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

968205450 is a wasteful number, since it uses less digits than its factorization.

968205450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27039 (or 27034 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 968205450 is about 31115.9999035866. Note that the first 4 decimals coincide. The cubic root of 968205450 is about 989.2874681113.

The spelling of 968205450 in words is "nine hundred sixty-eight million, two hundred five thousand, four hundred fifty".