433090368 has 224 divisors, whose sum is σ = 1408907520. Its totient is φ = 129761280.

The previous prime is 433090319. The next prime is 433090373. The reversal of 433090368 is 863090334.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 675328 + ... + 675968.

Almost surely, 2^433090368 is an apocalyptic number.

433090368 is a gapful number since it is divisible by the number (48) 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 433090368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704453760).

433090368 is an abundant number, since it is smaller than the sum of its proper divisors (975817152).

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

433090368 is a wasteful number, since it uses less digits than its factorization.

433090368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 433090368 is about 20810.8233378692. The cubic root of 433090368 is about 756.5881037371.

The spelling of 433090368 in words is "four hundred thirty-three million, ninety thousand, three hundred sixty-eight".