42835800 has 288 divisors, whose sum is σ = 162846720. Its totient is φ = 9273600.

The previous prime is 42835757. The next prime is 42835811. The reversal of 42835800 is 853824.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 911377 + ... + 911423.

It is an arithmetic number, because the mean of its divisors is an integer number (565440).

Almost surely, 2^42835800 is an apocalyptic number.

42835800 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 42835800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81423360).

42835800 is an abundant number, since it is smaller than the sum of its proper divisors (120010920).

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

42835800 is a wasteful number, since it uses less digits than its factorization.

42835800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 42835800 is about 6544.9064164432. The cubic root of 42835800 is about 349.8933008089.

The spelling of 42835800 in words is "forty-two million, eight hundred thirty-five thousand, eight hundred".