946288980 has 480 divisors, whose sum is σ = 3756614400. Its totient is φ = 198132480.

The previous prime is 946288963. The next prime is 946288997. The reversal of 946288980 is 89882649.

946288980 is a `hidden beast` number, since 9 + 4 + 628 + 8 + 9 + 8 + 0 = 666.

946288980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (946288963) and next prime (946288997).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7223515 + ... + 7223645.

It is an arithmetic number, because the mean of its divisors is an integer number (7826280).

Almost surely, 2^946288980 is an apocalyptic number.

946288980 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 946288980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1878307200).

946288980 is an abundant number, since it is smaller than the sum of its proper divisors (2810325420).

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

946288980 is a wasteful number, since it uses less digits than its factorization.

946288980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 946288980 is about 30761.8104148634. The cubic root of 946288980 is about 981.7658637947.

The spelling of 946288980 in words is "nine hundred forty-six million, two hundred eighty-eight thousand, nine hundred eighty".