433665960 has 256 divisors, whose sum is σ = 1617960960. Its totient is φ = 90547200.

The previous prime is 433665959. The next prime is 433666027. The reversal of 433665960 is 69566334.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1648789 + ... + 1649051.

It is an arithmetic number, because the mean of its divisors is an integer number (6320160).

Almost surely, 2^433665960 is an apocalyptic number.

433665960 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 433665960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808980480).

433665960 is an abundant number, since it is smaller than the sum of its proper divisors (1184295000).

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

433665960 is a wasteful number, since it uses less digits than its factorization.

433665960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 42.

The square root of 433665960 is about 20824.6478961830. The cubic root of 433665960 is about 756.9231325663.

The spelling of 433665960 in words is "four hundred thirty-three million, six hundred sixty-five thousand, nine hundred sixty".