42758900 has 36 divisors (see below), whose sum is σ = 95059020. Its totient is φ = 16684800.

The previous prime is 42758887. The next prime is 42758917. The reversal of 42758900 is 985724.

It is a happy number.

42758900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 274576 + 42484324 = 524^2 + 6518^2 .

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

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 11 ways as a sum of consecutive naturals, for example, 1115 + ... + 9314.

Almost surely, 2^42758900 is an apocalyptic number.

It is an amenable number.

42758900 is an abundant number, since it is smaller than the sum of its proper divisors (52300120).

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

42758900 is a wasteful number, since it uses less digits than its factorization.

42758900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10484 (or 10477 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 42758900 is about 6539.0289799021. The cubic root of 42758900 is about 349.6837960474.

The spelling of 42758900 in words is "forty-two million, seven hundred fifty-eight thousand, nine hundred".