42685300 has 108 divisors (see below), whose sum is σ = 112985824. Its totient is φ = 13708800.

The previous prime is 42685297. The next prime is 42685319. The reversal of 42685300 is 358624.

42685300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×42685300³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

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 35 ways as a sum of consecutive naturals, for example, 202195 + ... + 202405.

Almost surely, 2^42685300 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 42685300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56492912).

42685300 is an abundant number, since it is smaller than the sum of its proper divisors (70300524).

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

42685300 is a wasteful number, since it uses less digits than its factorization.

42685300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 42685300 is about 6533.3988091957. The cubic root of 42685300 is about 349.4830463538.

The spelling of 42685300 in words is "forty-two million, six hundred eighty-five thousand, three hundred".