446611968 has 300 divisors, whose sum is σ = 1481682510. Its totient is φ = 133816320.

The previous prime is 446611943. The next prime is 446612021. The reversal of 446611968 is 869116644.

It can be written as a sum of positive squares in only one way, i.e., 424030464 + 22581504 = 20592^2 + 4752^2 .

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

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 29 ways as a sum of consecutive naturals, for example, 5018068 + ... + 5018156.

Almost surely, 2^446611968 is an apocalyptic number.

446611968 is a gapful number since it is divisible by the number (48) 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 446611968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740841255).

446611968 is an abundant number, since it is smaller than the sum of its proper divisors (1035070542).

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

446611968 is an equidigital number, since it uses as much as digits as its factorization.

446611968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 105 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 446611968 is about 21133.1958775761. The cubic root of 446611968 is about 764.3814145897.

The spelling of 446611968 in words is "four hundred forty-six million, six hundred eleven thousand, nine hundred sixty-eight".