446952 has 32 divisors (see below), whose sum is σ = 1219680. Its totient is φ = 135360.

The previous prime is 446951. The next prime is 446969. The reversal of 446952 is 259644.

446952 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (446951) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 583 + ... + 1110.

It is an arithmetic number, because the mean of its divisors is an integer number (38115).

2⁴⁴⁶⁹⁵² is an apocalyptic number.

It is an amenable number.

446952 is an abundant number, since it is smaller than the sum of its proper divisors (772728).

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

446952 is a wasteful number, since it uses less digits than its factorization.

446952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1713 (or 1709 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 446952 is about 668.5446881099. The cubic root of 446952 is about 76.4575354912.

It can be divided in two parts, 44 and 6952, that added together give a palindrome (6996).

The spelling of 446952 in words is "four hundred forty-six thousand, nine hundred fifty-two".