42033504 has 24 divisors (see below), whose sum is σ = 110338200. Its totient is φ = 14011136.

The previous prime is 42033479. The next prime is 42033583. The reversal of 42033504 is 40533024.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×42033504³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 218829 + ... + 219020.

It is an arithmetic number, because the mean of its divisors is an integer number (4597425).

Almost surely, 2^42033504 is an apocalyptic number.

It is an amenable number.

42033504 is an abundant number, since it is smaller than the sum of its proper divisors (68304696).

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

42033504 is a wasteful number, since it uses less digits than its factorization.

42033504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437862 (or 437854 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 42033504 is about 6483.3250728311. The cubic root of 42033504 is about 347.6950691259.

Adding to 42033504 its reverse (40533024), we get a palindrome (82566528).

The spelling of 42033504 in words is "forty-two million, thirty-three thousand, five hundred four".