446420880 has 60 divisors (see below), whose sum is σ = 1499232540. Its totient is φ = 119045376.

The previous prime is 446420839. The next prime is 446420911. The reversal of 446420880 is 88024644.

446420880 is a `hidden beast` number, since 4 + 4 + 642 + 0 + 8 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 280629504 + 165791376 = 16752^2 + 12876^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 309295 + ... + 310734.

It is an arithmetic number, because the mean of its divisors is an integer number (24987209).

Almost surely, 2^446420880 is an apocalyptic number.

446420880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

446420880 is an abundant number, since it is smaller than the sum of its proper divisors (1052811660).

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

446420880 is a wasteful number, since it uses less digits than its factorization.

446420880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620048 (or 620039 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 446420880 is about 21128.6743550086. The cubic root of 446420880 is about 764.2723826164.

The spelling of 446420880 in words is "four hundred forty-six million, four hundred twenty thousand, eight hundred eighty".