433221420 has 48 divisors (see below), whose sum is σ = 1229649120. Its totient is φ = 113942016.

The previous prime is 433221407. The next prime is 433221449. The reversal of 433221420 is 24122334.

433221420 = 2400² + 2401² + ... + 2472².

433221420 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45075 + ... + 53834.

It is an arithmetic number, because the mean of its divisors is an integer number (25617690).

Almost surely, 2^433221420 is an apocalyptic number.

It is an amenable number.

433221420 is an abundant number, since it is smaller than the sum of its proper divisors (796427700).

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

433221420 is a wasteful number, since it uses less digits than its factorization.

433221420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98994 (or 98992 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 433221420 is about 20813.9717497646. The cubic root of 433221420 is about 756.6644098941.

Adding to 433221420 its reverse (24122334), we get a palindrome (457343754).

It can be divided in two parts, 4332 and 21420, that added together give a palindrome (25752).

The spelling of 433221420 in words is "four hundred thirty-three million, two hundred twenty-one thousand, four hundred twenty".