42258600 has 144 divisors (see below), whose sum is σ = 150375420. Its totient is φ = 10598400.

The previous prime is 42258599. The next prime is 42258607. The reversal of 42258600 is 685224.

42258600 is a `hidden beast` number, since 4 + 2 + 2 + 58 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 20412324 + 21846276 = 4518^2 + 4674^2 .

It is not an unprimeable number, because it can be changed into a prime (42258607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29910 + ... + 31290.

Almost surely, 2^42258600 is an apocalyptic number.

42258600 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 42258600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75187710).

42258600 is an abundant number, since it is smaller than the sum of its proper divisors (108116820).

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

42258600 is a wasteful number, since it uses less digits than its factorization.

42258600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 42258600 is about 6500.6615048009. The cubic root of 42258600 is about 348.3146183688.

The spelling of 42258600 in words is "forty-two million, two hundred fifty-eight thousand, six hundred".