420335424 has 42 divisors (see below), whose sum is σ = 1204817250. Its totient is φ = 140111616.

The previous prime is 420335401. The next prime is 420335431. The reversal of 420335424 is 424533024.

420335424 is a `hidden beast` number, since 4 + 203 + 35 + 424 = 666.

It can be written as a sum of positive squares in only one way, i.e., 319694400 + 100641024 = 17880^2 + 10032^2 .

It is a super-3 number, since 3×420335424³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 364299 + ... + 365450.

It is an arithmetic number, because the mean of its divisors is an integer number (28686125).

Almost surely, 2^420335424 is an apocalyptic number.

It is an amenable number.

420335424 is an abundant number, since it is smaller than the sum of its proper divisors (784481826).

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

420335424 is a wasteful number, since it uses less digits than its factorization.

420335424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729767 (or 729754 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 420335424 is about 20502.0834063273. The cubic root of 420335424 is about 749.0865465888.

Adding to 420335424 its reverse (424533024), we get a palindrome (844868448).

The spelling of 420335424 in words is "four hundred twenty million, three hundred thirty-five thousand, four hundred twenty-four".