42284440 has 64 divisors (see below), whose sum is σ = 109913760. Its totient is φ = 14469120.

The previous prime is 42284413. The next prime is 42284441. The reversal of 42284440 is 4448224.

It is a super-2 number, since 2×42284440² = 3575947732227200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42284399 and 42284408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42284441) 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 15 ways as a sum of consecutive naturals, for example, 4654 + ... + 10306.

Almost surely, 2^42284440 is an apocalyptic number.

42284440 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 42284440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54956880).

42284440 is an abundant number, since it is smaller than the sum of its proper divisors (67629320).

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

42284440 is a wasteful number, since it uses less digits than its factorization.

42284440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5692 (or 5688 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

The square root of 42284440 is about 6502.6486911104. The cubic root of 42284440 is about 348.3855989176.

It can be divided in two parts, 42284 and 440, that added together give a palindrome (42724).

The spelling of 42284440 in words is "forty-two million, two hundred eighty-four thousand, four hundred forty".