433228000 has 192 divisors, whose sum is σ = 1180303488. Its totient is φ = 155443200.

The previous prime is 433227959. The next prime is 433228001. The reversal of 433228000 is 822334.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (433228001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1563862 + ... + 1564138.

It is an arithmetic number, because the mean of its divisors is an integer number (6147414).

Almost surely, 2^433228000 is an apocalyptic number.

433228000 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 433228000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590151744).

433228000 is an abundant number, since it is smaller than the sum of its proper divisors (747075488).

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

433228000 is a wasteful number, since it uses less digits than its factorization.

433228000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 433228000 is about 20814.1298160649. The cubic root of 433228000 is about 756.6682407500.

The spelling of 433228000 in words is "four hundred thirty-three million, two hundred twenty-eight thousand".