446856480 has 288 divisors, whose sum is σ = 1820206080. Its totient is φ = 102090240.

The previous prime is 446856461. The next prime is 446856493. The reversal of 446856480 is 84658644.

446856480 is a `hidden beast` number, since 4 + 4 + 6 + 8 + 564 + 80 = 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 210625 + ... + 212735.

It is an arithmetic number, because the mean of its divisors is an integer number (6320160).

Almost surely, 2^446856480 is an apocalyptic number.

446856480 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 446856480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910103040).

446856480 is an abundant number, since it is smaller than the sum of its proper divisors (1373349600).

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

446856480 is a wasteful number, since it uses less digits than its factorization.

446856480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2149 (or 2128 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 446856480 is about 21138.9801078482. The cubic root of 446856480 is about 764.5208841546.

It can be divided in two parts, 4468564 and 80, that added together give a palindrome (4468644).

The spelling of 446856480 in words is "four hundred forty-six million, eight hundred fifty-six thousand, four hundred eighty".