946741824 has 448 divisors, whose sum is σ = 3441070080. Its totient is φ = 249384960.

The previous prime is 946741819. The next prime is 946741837. The reversal of 946741824 is 428147649.

946741824 is a `hidden beast` number, since 9 + 467 + 4 + 182 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 946741824.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11406487 + ... + 11406569.

It is an arithmetic number, because the mean of its divisors is an integer number (7680960).

Almost surely, 2^946741824 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 946741824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1720535040).

946741824 is an abundant number, since it is smaller than the sum of its proper divisors (2494328256).

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

946741824 is a wasteful number, since it uses less digits than its factorization.

946741824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 159 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 946741824 is about 30769.1700245554. The cubic root of 946741824 is about 981.9224459419.

The spelling of 946741824 in words is "nine hundred forty-six million, seven hundred forty-one thousand, eight hundred twenty-four".