42205900 has 144 divisors (see below), whose sum is σ = 110430432. Its totient is φ = 13824000.

The previous prime is 42205841. The next prime is 42205903. The reversal of 42205900 is 950224.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42205903) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 691870 + ... + 691930.

It is an arithmetic number, because the mean of its divisors is an integer number (766878).

Almost surely, 2^42205900 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 42205900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55215216).

42205900 is an abundant number, since it is smaller than the sum of its proper divisors (68224532).

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

42205900 is a wasteful number, since it uses less digits than its factorization.

42205900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 42205900 is about 6496.6068066338. The cubic root of 42205900 is about 348.1697656742.

The spelling of 42205900 in words is "forty-two million, two hundred five thousand, nine hundred".