446383872 has 360 divisors, whose sum is σ = 1543301760. Its totient is φ = 126904320.

The previous prime is 446383871. The next prime is 446383879. The reversal of 446383872 is 278383644.

446383872 is a `hidden beast` number, since 4 + 4 + 638 + 3 + 8 + 7 + 2 = 666.

It is a super-2 number, since 2×446383872² = 398517122363424768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (446383871) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4333773 + ... + 4333875.

Almost surely, 2^446383872 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 446383872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771650880).

446383872 is an abundant number, since it is smaller than the sum of its proper divisors (1096917888).

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

446383872 is a wasteful number, since it uses less digits than its factorization.

446383872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 138 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 446383872 is about 21127.7985601908. The cubic root of 446383872 is about 764.2512628054.

The spelling of 446383872 in words is "four hundred forty-six million, three hundred eighty-three thousand, eight hundred seventy-two".