824420 has 12 divisors (see below), whose sum is σ = 1731324. Its totient is φ = 329760.

The previous prime is 824419. The next prime is 824437. The reversal of 824420 is 24428.

It can be written as a sum of positive squares in 2 ways, for example, as 209764 + 614656 = 458^2 + 784^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 41221 = 824420 / (8 + 2 + 4 + 4 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 824392 and 824401.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20591 + ... + 20630.

It is an arithmetic number, because the mean of its divisors is an integer number (144277).

2⁸²⁴⁴²⁰ is an apocalyptic number.

It is an amenable number.

824420 is an abundant number, since it is smaller than the sum of its proper divisors (906904).

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

824420 is a wasteful number, since it uses less digits than its factorization.

824420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41230 (or 41228 counting only the distinct ones).

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

The square root of 824420 is about 907.9757706018. The cubic root of 824420 is about 93.7668888092.

Adding to 824420 its reverse (24428), we get a palindrome (848848).

The spelling of 824420 in words is "eight hundred twenty-four thousand, four hundred twenty".