446080 has 64 divisors (see below), whose sum is σ = 1156680. Its totient is φ = 163840.

The previous prime is 446053. The next prime is 446081. The reversal of 446080 is 80644.

It can be written as a sum of positive squares in 4 ways, for example, as 304704 + 141376 = 552^2 + 376^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (446081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10860 + ... + 10900.

2⁴⁴⁶⁰⁸⁰ is an apocalyptic number.

446080 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 446080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578340).

446080 is an abundant number, since it is smaller than the sum of its proper divisors (710600).

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

446080 is a wasteful number, since it uses less digits than its factorization.

446080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 446080 is about 667.8922068717. The cubic root of 446080 is about 76.4077804271.

The spelling of 446080 in words is "four hundred forty-six thousand, eighty".