968449200 has 240 divisors, whose sum is σ = 3400094880. Its totient is φ = 234536960.

The previous prime is 968449127. The next prime is 968449219. The reversal of 968449200 is 2944869.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 590782 + ... + 592418.

It is an arithmetic number, because the mean of its divisors is an integer number (14167062).

Almost surely, 2^968449200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 968449200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1700047440).

968449200 is an abundant number, since it is smaller than the sum of its proper divisors (2431645680).

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

968449200 is a wasteful number, since it uses less digits than its factorization.

968449200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1704 (or 1693 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 968449200 is about 31119.9164523300. The cubic root of 968449200 is about 989.3704803092.

The spelling of 968449200 in words is "nine hundred sixty-eight million, four hundred forty-nine thousand, two hundred".