446412960 has 288 divisors, whose sum is σ = 1769668992. Its totient is φ = 100362240.

The previous prime is 446412947. The next prime is 446412977. The reversal of 446412960 is 69214644.

446412960 is a `hidden beast` number, since 4 + 4 + 641 + 2 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 675030 + ... + 675690.

It is an arithmetic number, because the mean of its divisors is an integer number (6144684).

Almost surely, 2^446412960 is an apocalyptic number.

446412960 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 446412960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884834496).

446412960 is an abundant number, since it is smaller than the sum of its proper divisors (1323256032).

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

446412960 is a wasteful number, since it uses less digits than its factorization.

446412960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 446412960 is about 21128.4869311553. The cubic root of 446412960 is about 764.2678629107.

It can be divided in two parts, 4464 and 12960, that added together give a square (17424 = 132²).

The spelling of 446412960 in words is "four hundred forty-six million, four hundred twelve thousand, nine hundred sixty".