445632 has 56 divisors (see below), whose sum is σ = 1292352. Its totient is φ = 134400.

The previous prime is 445631. The next prime is 445633. The reversal of 445632 is 236544.

It is an interprime number because it is at equal distance from previous prime (445631) and next prime (445633).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 445632.

It is not an unprimeable number, because it can be changed into a prime (445631) 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, 2007 + ... + 2217.

2⁴⁴⁵⁶³² 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 445632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646176).

445632 is an abundant number, since it is smaller than the sum of its proper divisors (846720).

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

445632 is a wasteful number, since it uses less digits than its factorization.

445632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 227 counting only the distinct ones).

The product of its digits is 2880, while the sum is 24.

The square root of 445632 is about 667.5567391615. The cubic root of 445632 is about 76.3821929754.

The spelling of 445632 in words is "four hundred forty-five thousand, six hundred thirty-two".