446881960 has 192 divisors, whose sum is σ = 1230707520. Its totient is φ = 145474560.

The previous prime is 446881951. The next prime is 446881979. The reversal of 446881960 is 69188644.

It is a self number, because there is not a number n which added to its sum of digits gives 446881960.

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, 5384079 + ... + 5384161.

It is an arithmetic number, because the mean of its divisors is an integer number (6409935).

Almost surely, 2^446881960 is an apocalyptic number.

446881960 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 446881960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615353760).

446881960 is an abundant number, since it is smaller than the sum of its proper divisors (783825560).

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

446881960 is a wasteful number, since it uses less digits than its factorization.

446881960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 46.

The square root of 446881960 is about 21139.5827773398. The cubic root of 446881960 is about 764.5354150109.

The spelling of 446881960 in words is "four hundred forty-six million, eight hundred eighty-one thousand, nine hundred sixty".