420322000 has 120 divisors (see below), whose sum is σ = 1182547080. Its totient is φ = 144076800.

The previous prime is 420321983. The next prime is 420322003. The reversal of 420322000 is 223024.

It can be written as a sum of positive squares in 4 ways, for example, as 1382976 + 418939024 = 1176^2 + 20468^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420322003) 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, 95856 + ... + 100144.

It is an arithmetic number, because the mean of its divisors is an integer number (9854559).

Almost surely, 2^420322000 is an apocalyptic number.

420322000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591273540).

420322000 is an abundant number, since it is smaller than the sum of its proper divisors (762225080).

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

420322000 is a wasteful number, since it uses less digits than its factorization.

420322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4326 (or 4303 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 420322000 is about 20501.7560223509. The cubic root of 420322000 is about 749.0785721282.

Adding to 420322000 its reverse (223024), we get a palindrome (420545024).

The spelling of 420322000 in words is "four hundred twenty million, three hundred twenty-two thousand".