433222240 has 96 divisors (see below), whose sum is σ = 1125653760. Its totient is φ = 156249600.

The previous prime is 433222219. The next prime is 433222247. The reversal of 433222240 is 42222334.

433222240 = T₆₅ + T₆₆ + ... + T₁₃₇₄.

433222240 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (433222247) 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 15 ways as a sum of consecutive naturals, for example, 229621 + ... + 231499.

It is an arithmetic number, because the mean of its divisors is an integer number (11725560).

Almost surely, 2^433222240 is an apocalyptic number.

433222240 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 433222240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562826880).

433222240 is an abundant number, since it is smaller than the sum of its proper divisors (692431520).

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

433222240 is a wasteful number, since it uses less digits than its factorization.

433222240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2036 (or 2028 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 433222240 is about 20813.9914480620. The cubic root of 433222240 is about 756.6648872977.

Adding to 433222240 its reverse (42222334), we get a palindrome (475444574).

The spelling of 433222240 in words is "four hundred thirty-three million, two hundred twenty-two thousand, two hundred forty".