946044960 has 576 divisors, whose sum is σ = 3826569600. Its totient is φ = 195084288.

The previous prime is 946044943. The next prime is 946044961. The reversal of 946044960 is 69440649.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (946044961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12959484 + ... + 12959556.

It is an arithmetic number, because the mean of its divisors is an integer number (6643350).

Almost surely, 2^946044960 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 946044960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1913284800).

946044960 is an abundant number, since it is smaller than the sum of its proper divisors (2880524640).

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

946044960 is a wasteful number, since it uses less digits than its factorization.

946044960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 946044960 is about 30757.8438776193. The cubic root of 946044960 is about 981.6814670594.

The spelling of 946044960 in words is "nine hundred forty-six million, forty-four thousand, nine hundred sixty".