946968000 has 448 divisors, whose sum is σ = 3628924416. Its totient is φ = 215040000.

The previous prime is 946967993. The next prime is 946968101. The reversal of 946968000 is 869649.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 4487895 + ... + 4488105.

Almost surely, 2^946968000 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 946968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1814462208).

946968000 is an abundant number, since it is smaller than the sum of its proper divisors (2681956416).

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

946968000 is a wasteful number, since it uses less digits than its factorization.

946968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 946968000 is about 30772.8451723269. The cubic root of 946968000 is about 982.0006332584. Note that the first 3 decimals are identical.

The spelling of 946968000 in words is "nine hundred forty-six million, nine hundred sixty-eight thousand".