446164056 has 144 divisors (see below), whose sum is σ = 1345181760. Its totient is φ = 133436160.

The previous prime is 446164039. The next prime is 446164057. The reversal of 446164056 is 650461644.

446164056 is a `hidden beast` number, since 4 + 4 + 6 + 1 + 640 + 5 + 6 = 666.

It is a super-2 number, since 2×446164056² = 398124729732742272, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 446164056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (446164057) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 449721 + ... + 450711.

It is an arithmetic number, because the mean of its divisors is an integer number (9341540).

Almost surely, 2^446164056 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 446164056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672590880).

446164056 is an abundant number, since it is smaller than the sum of its proper divisors (899017704).

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

446164056 is a wasteful number, since it uses less digits than its factorization.

446164056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 446164056 is about 21122.5958631983. The cubic root of 446164056 is about 764.1257936376.

The spelling of 446164056 in words is "four hundred forty-six million, one hundred sixty-four thousand, fifty-six".