42870600 has 192 divisors, whose sum is σ = 156686400. Its totient is φ = 10736640.

The previous prime is 42870571. The next prime is 42870601. The reversal of 42870600 is 607824.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (42870601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91567 + ... + 92033.

It is an arithmetic number, because the mean of its divisors is an integer number (816075).

Almost surely, 2^42870600 is an apocalyptic number.

42870600 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 42870600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78343200).

42870600 is an abundant number, since it is smaller than the sum of its proper divisors (113815800).

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

42870600 is a wasteful number, since it uses less digits than its factorization.

42870600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 42870600 is about 6547.5644326727. The cubic root of 42870600 is about 349.9880268013.

The spelling of 42870600 in words is "forty-two million, eight hundred seventy thousand, six hundred".