446409852 has 96 divisors (see below), whose sum is σ = 1248844800. Its totient is φ = 121347072.

The previous prime is 446409841. The next prime is 446409869. The reversal of 446409852 is 258904644.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 441924 + ... + 442932.

It is an arithmetic number, because the mean of its divisors is an integer number (13008800).

Almost surely, 2^446409852 is an apocalyptic number.

446409852 is a gapful number since it is divisible by the number (42) 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 446409852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624422400).

446409852 is an abundant number, since it is smaller than the sum of its proper divisors (802434948).

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

446409852 is a wasteful number, since it uses less digits than its factorization.

446409852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 446409852 is about 21128.4133810374. The cubic root of 446409852 is about 764.2660892540.

The spelling of 446409852 in words is "four hundred forty-six million, four hundred nine thousand, eight hundred fifty-two".