42884600 has 96 divisors (see below), whose sum is σ = 110417040. Its totient is φ = 15360000.

The previous prime is 42884551. The next prime is 42884603. The reversal of 42884600 is 648824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42884603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 222104 + ... + 222296.

Almost surely, 2^42884600 is an apocalyptic number.

42884600 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 42884600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55208520).

42884600 is an abundant number, since it is smaller than the sum of its proper divisors (67532440).

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

42884600 is a wasteful number, since it uses less digits than its factorization.

42884600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 42884600 is about 6548.6334452311. The cubic root of 42884600 is about 350.0261204996.

It can be divided in two parts, 4288 and 4600, that added together give a palindrome (8888).

The spelling of 42884600 in words is "forty-two million, eight hundred eighty-four thousand, six hundred".