946404480 has 256 divisors, whose sum is σ = 3502402560. Its totient is φ = 212889600.

The previous prime is 946404469. The next prime is 946404509. The reversal of 946404480 is 84404649.

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 31 ways as a sum of consecutive naturals, for example, 899955 + ... + 901005.

It is an arithmetic number, because the mean of its divisors is an integer number (13681260).

Almost surely, 2^946404480 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 946404480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751201280).

946404480 is an abundant number, since it is smaller than the sum of its proper divisors (2555998080).

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

946404480 is a wasteful number, since it uses less digits than its factorization.

946404480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 946404480 is about 30763.6876853215. The cubic root of 946404480 is about 981.8058055554.

The spelling of 946404480 in words is "nine hundred forty-six million, four hundred four thousand, four hundred eighty".