424448 has 20 divisors (see below), whose sum is σ = 849090. Its totient is φ = 211968.

The previous prime is 424433. The next prime is 424451. The reversal of 424448 is 844424.

It can be written as a sum of positive squares in only one way, i.e., 350464 + 73984 = 592^2 + 272^2 .

It is a super-2 number, since 2×424448² = 360312209408, which contains 22 as substring.

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

It is an unprimeable number.

424448 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 as a sum of consecutive naturals, namely, 98 + ... + 926.

2⁴²⁴⁴⁴⁸ 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 424448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424545).

424448 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

424448 is an frugal number, since it uses more digits than its factorization.

424448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 831 counting only the distinct ones).

The product of its digits is 4096, while the sum is 26.

The square root of 424448 is about 651.4967382881. The cubic root of 424448 is about 75.1521651422.

The spelling of 424448 in words is "four hundred twenty-four thousand, four hundred forty-eight".