424000 has 56 divisors (see below), whose sum is σ = 1069848. Its totient is φ = 166400.

The previous prime is 423991. The next prime is 424001. The reversal of 424000 is 424.

It can be written as a sum of positive squares in 4 ways, for example, as 4096 + 419904 = 64^2 + 648^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424001) by changing a digit.

424000 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 in 7 ways as a sum of consecutive naturals, for example, 7974 + ... + 8026.

2⁴²⁴⁰⁰⁰ is an apocalyptic number.

424000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534924).

424000 is an abundant number, since it is smaller than the sum of its proper divisors (645848).

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

424000 is an equidigital number, since it uses as much as digits as its factorization.

424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 424000 is about 651.1528238440. The cubic root of 424000 is about 75.1257150844.

Adding to 424000 its reverse (424), we get a palindrome (424424).

424000 divided by its reverse (424) gives a cube (1000 = 10³).

The spelling of 424000 in words is "four hundred twenty-four thousand", and thus it is an iban number.