42882400 has 108 divisors (see below), whose sum is σ = 115328556. Its totient is φ = 15558400.

The previous prime is 42882397. The next prime is 42882401. The reversal of 42882400 is 428824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42882401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 96579 + ... + 97021.

It is an arithmetic number, because the mean of its divisors is an integer number (1067857).

Almost surely, 2^42882400 is an apocalyptic number.

42882400 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 42882400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57664278).

42882400 is an abundant number, since it is smaller than the sum of its proper divisors (72446156).

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

42882400 is a wasteful number, since it uses less digits than its factorization.

42882400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 42882400 is about 6548.4654691004. The cubic root of 42882400 is about 350.0201348961.

Multiplying 42882400 by its reverse (428824), we get a square (18389002297600 = 4288240²).

42882400 divided by its reverse (428824) gives a square (100 = 10²).

It can be divided in two parts, 428 and 82400, that added together give a palindrome (82828).

The spelling of 42882400 in words is "forty-two million, eight hundred eighty-two thousand, four hundred".