42233280 has 224 divisors, whose sum is σ = 145938240. Its totient is φ = 10321920.

The previous prime is 42233231. The next prime is 42233281. The reversal of 42233280 is 8233224.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 42233280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42233281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1030060 + ... + 1030100.

It is an arithmetic number, because the mean of its divisors is an integer number (651510).

Almost surely, 2^42233280 is an apocalyptic number.

42233280 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 42233280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72969120).

42233280 is an abundant number, since it is smaller than the sum of its proper divisors (103704960).

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

42233280 is a wasteful number, since it uses less digits than its factorization.

42233280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 42233280 is about 6498.7137188831. The cubic root of 42233280 is about 348.2450381481.

It can be divided in two parts, 4223 and 3280, that added together give a triangular number (7503 = T₁₂₂).

The spelling of 42233280 in words is "forty-two million, two hundred thirty-three thousand, two hundred eighty".