433020672 has 108 divisors (see below), whose sum is σ = 1426916400. Its totient is φ = 123715584.

The previous prime is 433020667. The next prime is 433020673. The reversal of 433020672 is 276020334.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (433020673) 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, 2704 + ... + 29552.

Almost surely, 2^433020672 is an apocalyptic number.

433020672 is a gapful number since it is divisible by the number (42) 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 433020672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713458200).

433020672 is an abundant number, since it is smaller than the sum of its proper divisors (993895728).

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

433020672 is a wasteful number, since it uses less digits than its factorization.

433020672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26878 (or 26861 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 433020672 is about 20809.1487572173. The cubic root of 433020672 is about 756.5475163699.

The spelling of 433020672 in words is "four hundred thirty-three million, twenty thousand, six hundred seventy-two".