433920 has 72 divisors (see below), whose sum is σ = 1398096. Its totient is φ = 114688.

The previous prime is 433889. The next prime is 433931. The reversal of 433920 is 29334.

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3784 + ... + 3896.

It is an arithmetic number, because the mean of its divisors is an integer number (19418).

2⁴³³⁹²⁰ is an apocalyptic number.

433920 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 433920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699048).

433920 is an abundant number, since it is smaller than the sum of its proper divisors (964176).

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

433920 is a wasteful number, since it uses less digits than its factorization.

433920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 433920 is about 658.7260432076. The cubic root of 433920 is about 75.7070904688.

The spelling of 433920 in words is "four hundred thirty-three thousand, nine hundred twenty".