42203520 has 192 divisors, whose sum is σ = 154664640. Its totient is φ = 10567680.

The previous prime is 42203479. The next prime is 42203527. The reversal of 42203520 is 2530224.

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

It is a super-2 number, since 2×42203520² = 3562274200780800, which contains 22 as substring.

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 = 42203493 and 42203502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42203527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97705 + ... + 98135.

It is an arithmetic number, because the mean of its divisors is an integer number (805545).

Almost surely, 2^42203520 is an apocalyptic number.

42203520 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 42203520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77332320).

42203520 is an abundant number, since it is smaller than the sum of its proper divisors (112461120).

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

42203520 is a wasteful number, since it uses less digits than its factorization.

42203520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 458 counting only the distinct ones).

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

The square root of 42203520 is about 6496.4236315068. The cubic root of 42203520 is about 348.1632210946.

Adding to 42203520 its reverse (2530224), we get a palindrome (44733744).

The spelling of 42203520 in words is "forty-two million, two hundred three thousand, five hundred twenty".