42884820 has 144 divisors (see below), whose sum is σ = 143881920. Its totient is φ = 10338240.

The previous prime is 42884801. The next prime is 42884833. The reversal of 42884820 is 2848824.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 239491 + ... + 239669.

It is an arithmetic number, because the mean of its divisors is an integer number (999180).

Almost surely, 2^42884820 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 42884820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71940960).

42884820 is an abundant number, since it is smaller than the sum of its proper divisors (100997100).

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

42884820 is a wasteful number, since it uses less digits than its factorization.

42884820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 42884820 is about 6548.6502426073. The cubic root of 42884820 is about 350.0267190486.

The spelling of 42884820 in words is "forty-two million, eight hundred eighty-four thousand, eight hundred twenty".