42204000 has 96 divisors (see below), whose sum is σ = 138299616. Its totient is φ = 11251200.

The previous prime is 42203977. The next prime is 42204017. The reversal of 42204000 is 40224.

42204000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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 15 ways as a sum of consecutive naturals, for example, 10242 + ... + 13758.

It is an arithmetic number, because the mean of its divisors is an integer number (1440621).

Almost surely, 2^42204000 is an apocalyptic number.

42204000 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 42204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69149808).

42204000 is an abundant number, since it is smaller than the sum of its proper divisors (96095616).

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

42204000 is a wasteful number, since it uses less digits than its factorization.

42204000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3545 (or 3527 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 42204000 is about 6496.4605748053. The cubic root of 42204000 is about 348.1645410296.

Adding to 42204000 its reverse (40224), we get a palindrome (42244224).

The spelling of 42204000 in words is "forty-two million, two hundred four thousand".