446446000 has 320 divisors, whose sum is σ = 1455906816. Its totient is φ = 127872000.

The previous prime is 446445971. The next prime is 446446001. The reversal of 446446000 is 644644.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 446446000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (446446001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2001889 + ... + 2002111.

Almost surely, 2^446446000 is an apocalyptic number.

446446000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 446446000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727953408).

446446000 is an abundant number, since it is smaller than the sum of its proper divisors (1009460816).

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

446446000 is a wasteful number, since it uses less digits than its factorization.

446446000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 446446000 is about 21129.2687994639. The cubic root of 446446000 is about 764.2867174912.

The spelling of 446446000 in words is "four hundred forty-six million, four hundred forty-six thousand".