420233320 has 64 divisors (see below), whose sum is σ = 1022994000. Its totient is φ = 154441728.

The previous prime is 420233291. The next prime is 420233321. The reversal of 420233320 is 23332024.

It can be written as a sum of positive squares in 8 ways, for example, as 111809476 + 308423844 = 10574^2 + 17562^2 .

It is not an unprimeable number, because it can be changed into a prime (420233321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117316 + ... + 120844.

Almost surely, 2^420233320 is an apocalyptic number.

420233320 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 420233320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511497000).

420233320 is an abundant number, since it is smaller than the sum of its proper divisors (602760680).

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

420233320 is a wasteful number, since it uses less digits than its factorization.

420233320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3782 (or 3778 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 19.

The square root of 420233320 is about 20499.5931666948. The cubic root of 420233320 is about 749.0258879480.

Adding to 420233320 its reverse (23332024), we get a palindrome (443565344).

The spelling of 420233320 in words is "four hundred twenty million, two hundred thirty-three thousand, three hundred twenty".