433649664 has 144 divisors (see below), whose sum is σ = 1431808560. Its totient is φ = 123863040.

The previous prime is 433649663. The next prime is 433649701. The reversal of 433649664 is 466946334.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (433649663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 127344 + ... + 130704.

It is an arithmetic number, because the mean of its divisors is an integer number (9943115).

Almost surely, 2^433649664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 433649664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715904280).

433649664 is an abundant number, since it is smaller than the sum of its proper divisors (998158896).

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

433649664 is a wasteful number, since it uses less digits than its factorization.

433649664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3396 (or 3373 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 45.

The square root of 433649664 is about 20824.2566253876. The cubic root of 433649664 is about 756.9136514026.

The spelling of 433649664 in words is "four hundred thirty-three million, six hundred forty-nine thousand, six hundred sixty-four".