42205000 has 80 divisors (see below), whose sum is σ = 103466880. Its totient is φ = 16104000.

The previous prime is 42204997. The next prime is 42205003. The reversal of 42205000 is 50224.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42204997) and next prime (42205003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42205003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 114817 + ... + 115183.

It is an arithmetic number, because the mean of its divisors is an integer number (1293336).

Almost surely, 2^42205000 is an apocalyptic number.

42205000 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 42205000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51733440).

42205000 is an abundant number, since it is smaller than the sum of its proper divisors (61261880).

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

42205000 is a wasteful number, since it uses less digits than its factorization.

42205000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 42205000 is about 6496.5375393359. The cubic root of 42205000 is about 348.1672908621.

Adding to 42205000 its reverse (50224), we get a palindrome (42255224).

The spelling of 42205000 in words is "forty-two million, two hundred five thousand".