420322408 has 96 divisors (see below), whose sum is σ = 923361120. Its totient is φ = 177840000.

The previous prime is 420322403. The next prime is 420322411. The reversal of 420322408 is 804223024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420322403) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3208503 + ... + 3208633.

It is an arithmetic number, because the mean of its divisors is an integer number (9618345).

Almost surely, 2^420322408 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 420322408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461680560).

420322408 is an abundant number, since it is smaller than the sum of its proper divisors (503038712).

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

420322408 is a wasteful number, since it uses less digits than its factorization.

420322408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 420322408 is about 20501.7659727156. The cubic root of 420322408 is about 749.0788145011.

The spelling of 420322408 in words is "four hundred twenty million, three hundred twenty-two thousand, four hundred eight".