446400000 has 360 divisors, whose sum is σ = 1662268608. Its totient is φ = 115200000.

The previous prime is 446399983. The next prime is 446400001. The reversal of 446400000 is 4644.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (446400001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14399985 + ... + 14400015.

Almost surely, 2^446400000 is an apocalyptic number.

446400000 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 446400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831134304).

446400000 is an abundant number, since it is smaller than the sum of its proper divisors (1215868608).

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

446400000 is an frugal number, since it uses more digits than its factorization.

446400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 446400000 is about 21128.1802339908. The cubic root of 446400000 is about 764.2604669132.

Adding to 446400000 its reverse (4644), we get a palindrome (446404644).

The spelling of 446400000 in words is "four hundred forty-six million, four hundred thousand".