446906880 has 480 divisors, whose sum is σ = 1884415104. Its totient is φ = 95551488.

The previous prime is 446906861. The next prime is 446906903. The reversal of 446906880 is 88609644.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2741679 + ... + 2741841.

Almost surely, 2^446906880 is an apocalyptic number.

446906880 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 446906880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942207552).

446906880 is an abundant number, since it is smaller than the sum of its proper divisors (1437508224).

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

446906880 is a wasteful number, since it uses less digits than its factorization.

446906880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 446906880 is about 21140.1721847292. The cubic root of 446906880 is about 764.5496259735.

The spelling of 446906880 in words is "four hundred forty-six million, nine hundred six thousand, eight hundred eighty".