42800824 has 32 divisors (see below), whose sum is σ = 89591040. Its totient is φ = 19000800.

The previous prime is 42800819. The next prime is 42800827.

42800824 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 42800792 and 42800801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42800827) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1872 + ... + 9439.

It is an arithmetic number, because the mean of its divisors is an integer number (2799720).

Almost surely, 2^42800824 is an apocalyptic number.

42800824 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42800824 is an abundant number, since it is smaller than the sum of its proper divisors (46790216).

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

42800824 is a wasteful number, since it uses less digits than its factorization.

42800824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11371 (or 11367 counting only the distinct ones).

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

The square root of 42800824 is about 6542.2338692529. The cubic root of 42800824 is about 349.7980440346.

The spelling of 42800824 in words is "forty-two million, eight hundred thousand, eight hundred twenty-four".