446940764160 has 384 divisors, whose sum is σ = 1575115476480. Its totient is φ = 107288985600.

The previous prime is 446940764117. The next prime is 446940764161. The reversal of 446940764160 is 61467049644.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (446940764161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34799340 + ... + 34812180.

It is an arithmetic number, because the mean of its divisors is an integer number (4101863220).

Almost surely, 2^446940764160 is an apocalyptic number.

446940764160 is a gapful number since it is divisible by the number (40) 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 446940764160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787557738240).

446940764160 is an abundant number, since it is smaller than the sum of its proper divisors (1128174712320).

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

446940764160 is a wasteful number, since it uses less digits than its factorization.

446940764160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12985 (or 12965 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 51.

The spelling of 446940764160 in words is "four hundred forty-six billion, nine hundred forty million, seven hundred sixty-four thousand, one hundred sixty".