446791680 has 256 divisors, whose sum is σ = 1604296800. Its totient is φ = 117964800.

The previous prime is 446791621. The next prime is 446791691. The reversal of 446791680 is 86197644.

It is a tau number, because it is divible by the number of its divisors (256).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4423630 + ... + 4423730.

Almost surely, 2^446791680 is an apocalyptic number.

446791680 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 446791680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802148400).

446791680 is an abundant number, since it is smaller than the sum of its proper divisors (1157505120).

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

446791680 is an equidigital number, since it uses as much as digits as its factorization.

446791680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 446791680 is about 21137.4473387872. The cubic root of 446791680 is about 764.4839272118.

The spelling of 446791680 in words is "four hundred forty-six million, seven hundred ninety-one thousand, six hundred eighty".