940992000 has 480 divisors, whose sum is σ = 3504552480. Its totient is φ = 223641600.

The previous prime is 940991981. The next prime is 940992023. The reversal of 940992000 is 299049.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

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, 32447986 + ... + 32448014.

It is an arithmetic number, because the mean of its divisors is an integer number (7301151).

Almost surely, 2^940992000 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 940992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1752276240).

940992000 is an abundant number, since it is smaller than the sum of its proper divisors (2563560480).

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

940992000 is a wasteful number, since it uses less digits than its factorization.

940992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 940992000 is about 30675.5929038055. The cubic root of 940992000 is about 979.9305795613.

The spelling of 940992000 in words is "nine hundred forty million, nine hundred ninety-two thousand".