42433920 has 192 divisors, whose sum is σ = 150368400. Its totient is φ = 11022336.

The previous prime is 42433901. The next prime is 42433939. The reversal of 42433920 is 2933424.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42433901) and next prime (42433939).

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 305211 + ... + 305349.

Almost surely, 2^42433920 is an apocalyptic number.

42433920 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 42433920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75184200).

42433920 is an abundant number, since it is smaller than the sum of its proper divisors (107934480).

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

42433920 is a wasteful number, since it uses less digits than its factorization.

42433920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 42433920 is about 6514.1323290213. The cubic root of 42433920 is about 348.7956428488.

The spelling of 42433920 in words is "forty-two million, four hundred thirty-three thousand, nine hundred twenty".