42810504 has 64 divisors (see below), whose sum is σ = 120545280. Its totient is φ = 12552000.

The previous prime is 42810503. The next prime is 42810511. The reversal of 42810504 is 40501824.

It is a super-3 number, since 3×42810504³ (a number of 24 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (42810503) 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 15 ways as a sum of consecutive naturals, for example, 5569 + ... + 10799.

It is an arithmetic number, because the mean of its divisors is an integer number (1883520).

Almost surely, 2^42810504 is an apocalyptic number.

42810504 is a gapful number since it is divisible by the number (44) 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 42810504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60272640).

42810504 is an abundant number, since it is smaller than the sum of its proper divisors (77734776).

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

42810504 is a wasteful number, since it uses less digits than its factorization.

42810504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5282 (or 5278 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 42810504 is about 6542.9736358937. The cubic root of 42810504 is about 349.8244126066.

The spelling of 42810504 in words is "forty-two million, eight hundred ten thousand, five hundred four".