632448 has 80 divisors (see below), whose sum is σ = 1913010. Its totient is φ = 207360.

The previous prime is 632447. The next prime is 632459. The reversal of 632448 is 844236.

It can be written as a sum of positive squares in only one way, i.e., 627264 + 5184 = 792^2 + 72^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (632447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10338 + ... + 10398.

632448 is a Friedman number, since it can be written as (8^3-24)*6^4, using all its digits and the basic arithmetic operations.

2⁶³²⁴⁴⁸ 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 632448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956505).

632448 is an abundant number, since it is smaller than the sum of its proper divisors (1280562).

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

632448 is an equidigital number, since it uses as much as digits as its factorization.

632448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 66 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 632448 is about 795.2659932375. The cubic root of 632448 is about 85.8370811405.

The spelling of 632448 in words is "six hundred thirty-two thousand, four hundred forty-eight".