446676672 has 112 divisors (see below), whose sum is σ = 1292221952. Its totient is φ = 135336960.

The previous prime is 446676667. The next prime is 446676677. The reversal of 446676672 is 276676644.

It is an interprime number because it is at equal distance from previous prime (446676667) and next prime (446676677).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (446676677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165897 + ... + 168567.

It is an arithmetic number, because the mean of its divisors is an integer number (11537696).

Almost surely, 2^446676672 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 446676672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646110976).

446676672 is an abundant number, since it is smaller than the sum of its proper divisors (845545280).

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

446676672 is a wasteful number, since it uses less digits than its factorization.

446676672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2766 (or 2756 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 48.

The square root of 446676672 is about 21134.7266838254. The cubic root of 446676672 is about 764.4183266821.

The spelling of 446676672 in words is "four hundred forty-six million, six hundred seventy-six thousand, six hundred seventy-two".