420833322 has 72 divisors (see below), whose sum is σ = 1128445344. Its totient is φ = 110983392.

The previous prime is 420833321. The next prime is 420833333. The reversal of 420833322 is 223338024.

It is not an unprimeable number, because it can be changed into a prime (420833321) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11413 + ... + 31175.

It is an arithmetic number, because the mean of its divisors is an integer number (15672852).

Almost surely, 2^420833322 is an apocalyptic number.

420833322 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 420833322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564222672).

420833322 is an abundant number, since it is smaller than the sum of its proper divisors (707612022).

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

420833322 is a wasteful number, since it uses less digits than its factorization.

420833322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19804 (or 19788 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 420833322 is about 20514.2224322542. Note that the first 3 decimals coincide. The cubic root of 420833322 is about 749.3822005716.

The spelling of 420833322 in words is "four hundred twenty million, eight hundred thirty-three thousand, three hundred twenty-two".