420205324 has 24 divisors (see below), whose sum is σ = 916812288. Its totient is φ = 163716240.

The previous prime is 420205267. The next prime is 420205339. The reversal of 420205324 is 423502024.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 420205295 and 420205304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 681844 + ... + 682459.

It is an arithmetic number, because the mean of its divisors is an integer number (38200512).

Almost surely, 2^420205324 is an apocalyptic number.

420205324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

420205324 is an abundant number, since it is smaller than the sum of its proper divisors (496606964).

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

420205324 is a wasteful number, since it uses less digits than its factorization.

420205324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364325 (or 1364323 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 420205324 is about 20498.9103125020. The cubic root of 420205324 is about 749.0092541769.

Adding to 420205324 its reverse (423502024), we get a palindrome (843707348).

The spelling of 420205324 in words is "four hundred twenty million, two hundred five thousand, three hundred twenty-four".