42829800 has 288 divisors, whose sum is σ = 159885600. Its totient is φ = 9400320.

The previous prime is 42829799. The next prime is 42829823. The reversal of 42829800 is 892824.

42829800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 71 ways as a sum of consecutive naturals, for example, 2254191 + ... + 2254209.

Almost surely, 2^42829800 is an apocalyptic number.

42829800 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 42829800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79942800).

42829800 is an abundant number, since it is smaller than the sum of its proper divisors (117055800).

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

42829800 is a wasteful number, since it uses less digits than its factorization.

42829800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 42829800 is about 6544.4480286729. The cubic root of 42829800 is about 349.8769635565.

The spelling of 42829800 in words is "forty-two million, eight hundred twenty-nine thousand, eight hundred".