446480 has 20 divisors (see below), whose sum is σ = 1038252. Its totient is φ = 178560.

The previous prime is 446477. The next prime is 446503. The reversal of 446480 is 84644.

446480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 150544 + 295936 = 388^2 + 544^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2711 + ... + 2870.

2⁴⁴⁶⁴⁸⁰ is an apocalyptic number.

446480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

446480 is an abundant number, since it is smaller than the sum of its proper divisors (591772).

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

446480 is a wasteful number, since it uses less digits than its factorization.

446480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5594 (or 5588 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 446480 is about 668.1915892916. The cubic root of 446480 is about 76.4306118933.

The spelling of 446480 in words is "four hundred forty-six thousand, four hundred eighty".