802424 has 48 divisors (see below), whose sum is σ = 1846800. Its totient is φ = 325248.

The previous prime is 802421. The next prime is 802441. The reversal of 802424 is 424208.

802424 is a modest number, since divided by 2424 gives 80 as remainder.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 802396 and 802405.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 802424.

It is not an unprimeable number, because it can be changed into a prime (802421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8972 + ... + 9060.

It is an arithmetic number, because the mean of its divisors is an integer number (38475).

2⁸⁰²⁴²⁴ 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 802424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923400).

802424 is an abundant number, since it is smaller than the sum of its proper divisors (1044376).

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

802424 is a wasteful number, since it uses less digits than its factorization.

802424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 802424 is about 895.7812232906. The cubic root of 802424 is about 92.9254422281.

The spelling of 802424 in words is "eight hundred two thousand, four hundred twenty-four".