420335040 has 56 divisors (see below), whose sum is σ = 1334566800. Its totient is φ = 112089088.

The previous prime is 420335011. The next prime is 420335087. The reversal of 420335040 is 40533024.

It is a happy number.

It is a super-3 number, since 3×420335040³ (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 420334998 and 420335016.

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 7 ways as a sum of consecutive naturals, for example, 217965 + ... + 219884.

It is an arithmetic number, because the mean of its divisors is an integer number (23831550).

Almost surely, 2^420335040 is an apocalyptic number.

420335040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420335040 is an abundant number, since it is smaller than the sum of its proper divisors (914231760).

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

420335040 is a wasteful number, since it uses less digits than its factorization.

420335040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437869 (or 437859 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 420335040 is about 20502.0740414232. The cubic root of 420335040 is about 749.0863184779.

Adding to 420335040 its reverse (40533024), we get a palindrome (460868064).

The spelling of 420335040 in words is "four hundred twenty million, three hundred thirty-five thousand, forty".