447632 has 20 divisors (see below), whose sum is σ = 879036. Its totient is φ = 220800.

The previous prime is 447617. The next prime is 447637. The reversal of 447632 is 236744.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 274576 + 173056 = 524^2 + 416^2 .

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 4³ + 4⁹ + 6² + 7² + 3¹¹ + 2¹³ .

It is not an unprimeable number, because it can be changed into a prime (447637) by changing a digit.

447632 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1478 + ... + 1754.

2⁴⁴⁷⁶³² is an apocalyptic number.

It is an amenable number.

447632 is a deficient number, since it is larger than the sum of its proper divisors (431404).

447632 is a wasteful number, since it uses less digits than its factorization.

447632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 380 counting only the distinct ones).

The product of its digits is 4032, while the sum is 26.

The square root of 447632 is about 669.0530621707. The cubic root of 447632 is about 76.4962904206.

The spelling of 447632 in words is "four hundred forty-seven thousand, six hundred thirty-two".