512448 has 56 divisors (see below), whose sum is σ = 1444752. Its totient is φ = 159744.

The previous prime is 512443. The next prime is 512467. The reversal of 512448 is 844215.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512443) by changing a digit.

512448 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 7 ways as a sum of consecutive naturals, for example, 3186 + ... + 3342.

2⁵¹²⁴⁴⁸ 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 512448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722376).

512448 is an abundant number, since it is smaller than the sum of its proper divisors (932304).

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

512448 is a wasteful number, since it uses less digits than its factorization.

512448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 179 counting only the distinct ones).

The product of its digits is 1280, while the sum is 24.

The square root of 512448 is about 715.8547338671. The cubic root of 512448 is about 80.0233265311.

The spelling of 512448 in words is "five hundred twelve thousand, four hundred forty-eight".