446072 has 32 divisors (see below), whose sum is σ = 943920. Its totient is φ = 195840.

The previous prime is 446053. The next prime is 446081. The reversal of 446072 is 270644.

It is a congruent number.

It is an unprimeable number.

446072 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 3188 + ... + 3324.

2⁴⁴⁶⁰⁷² 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 446072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471960).

446072 is an abundant number, since it is smaller than the sum of its proper divisors (497848).

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

446072 is a wasteful number, since it uses less digits than its factorization.

446072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 446072 is about 667.8862178545. The cubic root of 446072 is about 76.4073236586.

It can be divided in two parts, 44 and 6072, that added together give a palindrome (6116).

The spelling of 446072 in words is "four hundred forty-six thousand, seventy-two".