446444880 has 120 divisors (see below), whose sum is σ = 1609977312. Its totient is φ = 102041856.

The previous prime is 446444863. The next prime is 446444893. The reversal of 446444880 is 88444644.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7222 + ... + 30741.

Almost surely, 2^446444880 is an apocalyptic number.

446444880 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 446444880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804988656).

446444880 is an abundant number, since it is smaller than the sum of its proper divisors (1163532432).

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

446444880 is a wasteful number, since it uses less digits than its factorization.

446444880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37993 (or 37980 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 42.

The square root of 446444880 is about 21129.2422959272. The cubic root of 446444880 is about 764.2860783681.

The spelling of 446444880 in words is "four hundred forty-six million, four hundred forty-four thousand, eight hundred eighty".