946289920 has 72 divisors (see below), whose sum is σ = 2365284096. Its totient is φ = 362047488.

The previous prime is 946289833. The next prime is 946289933. The reversal of 946289920 is 29982649.

It is a happy number.

It is a super-2 number, since 2×946289920² = 1790929225387212800, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 13369 + ... + 45511.

It is an arithmetic number, because the mean of its divisors is an integer number (32851168).

Almost surely, 2^946289920 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 946289920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182642048).

946289920 is an abundant number, since it is smaller than the sum of its proper divisors (1418994176).

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

946289920 is a wasteful number, since it uses less digits than its factorization.

946289920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32187 (or 32173 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 49.

The square root of 946289920 is about 30761.8256935443. The cubic root of 946289920 is about 981.7661888749.

The spelling of 946289920 in words is "nine hundred forty-six million, two hundred eighty-nine thousand, nine hundred twenty".