1005424 has 40 divisors (see below), whose sum is σ = 2285568. Its totient is φ = 419520.

The previous prime is 1005413. The next prime is 1005427. The reversal of 1005424 is 4245001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 1005398 and 1005407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005427) 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, 5169 + ... + 5359.

2^1005424 is an apocalyptic number.

1005424 is a gapful number since it is divisible by the number (14) 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 1005424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142784).

1005424 is an abundant number, since it is smaller than the sum of its proper divisors (1280144).

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

1005424 is a wasteful number, since it uses less digits than its factorization.

1005424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 1005424 is about 1002.7083324676. The cubic root of 1005424 is about 100.1804740951.

The spelling of 1005424 in words is "one million, five thousand, four hundred twenty-four".