42023520 has 288 divisors, whose sum is σ = 179262720. Its totient is φ = 8709120.

The previous prime is 42023491. The next prime is 42023521. The reversal of 42023520 is 2532024.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 42023493 and 42023502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42023521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110691 + ... + 111069.

It is an arithmetic number, because the mean of its divisors is an integer number (622440).

Almost surely, 2^42023520 is an apocalyptic number.

42023520 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 42023520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89631360).

42023520 is an abundant number, since it is smaller than the sum of its proper divisors (137239200).

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

42023520 is a wasteful number, since it uses less digits than its factorization.

42023520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 42023520 is about 6482.5550518295. Note that the first 3 decimals coincide. The cubic root of 42023520 is about 347.6675382111.

Adding to 42023520 its reverse (2532024), we get a palindrome (44555544).

The spelling of 42023520 in words is "forty-two million, twenty-three thousand, five hundred twenty".