446671872 has 132 divisors (see below), whose sum is σ = 1366102296. Its totient is φ = 140083200.

The previous prime is 446671871. The next prime is 446671877. The reversal of 446671872 is 278176644.

446671872 is a `hidden beast` number, since 4 + 466 + 7 + 187 + 2 = 666.

It is a super-2 number, since 2×446671872² = 399031522471968768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (446671871) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 155247 + ... + 158097.

Almost surely, 2^446671872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 446671872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683051148).

446671872 is an abundant number, since it is smaller than the sum of its proper divisors (919430424).

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

446671872 is a wasteful number, since it uses less digits than its factorization.

446671872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2894 (or 2873 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 446671872 is about 21134.6131263385. The cubic root of 446671872 is about 764.4155885188.

The spelling of 446671872 in words is "four hundred forty-six million, six hundred seventy-one thousand, eight hundred seventy-two".