446491968 has 112 divisors (see below), whose sum is σ = 1303544256. Its totient is φ = 134000640.

The previous prime is 446491967. The next prime is 446492003. The reversal of 446491968 is 869194644.

It is a self number, because there is not a number n which added to its sum of digits gives 446491968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (446491967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100155 + ... + 104517.

It is an arithmetic number, because the mean of its divisors is an integer number (11638788).

Almost surely, 2^446491968 is an apocalyptic number.

446491968 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 446491968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651772128).

446491968 is an abundant number, since it is smaller than the sum of its proper divisors (857052288).

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

446491968 is a wasteful number, since it uses less digits than its factorization.

446491968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4432 (or 4422 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 51.

The square root of 446491968 is about 21130.3565516534. The cubic root of 446491968 is about 764.3129480066.

The spelling of 446491968 in words is "four hundred forty-six million, four hundred ninety-one thousand, nine hundred sixty-eight".