42564500 has 96 divisors (see below), whose sum is σ = 103783680. Its totient is φ = 15120000.

The previous prime is 42564479. The next prime is 42564521. The reversal of 42564500 is 546524.

42564500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42564479) and next prime (42564521).

It is a super-3 number, since 3×42564500³ (a number of 24 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42564500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 390446 + ... + 390554.

It is an arithmetic number, because the mean of its divisors is an integer number (1081080).

Almost surely, 2^42564500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42564500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51891840).

42564500 is an abundant number, since it is smaller than the sum of its proper divisors (61219180).

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

42564500 is a wasteful number, since it uses less digits than its factorization.

42564500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 42564500 is about 6524.1474538824. The cubic root of 42564500 is about 349.1530542164.

The spelling of 42564500 in words is "forty-two million, five hundred sixty-four thousand, five hundred".