42686448 has 60 divisors (see below), whose sum is σ = 128284200. Its totient is φ = 12195456.

The previous prime is 42686443. The next prime is 42686467. The reversal of 42686448 is 84468624.

It is a super-3 number, since 3×42686448³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42686443) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6723 + ... + 11426.

It is an arithmetic number, because the mean of its divisors is an integer number (2138070).

Almost surely, 2^42686448 is an apocalyptic number.

42686448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42686448 is an abundant number, since it is smaller than the sum of its proper divisors (85597752).

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

42686448 is a wasteful number, since it uses less digits than its factorization.

42686448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18174 (or 18161 counting only the distinct ones).

The product of its digits is 294912, while the sum is 42.

The square root of 42686448 is about 6533.4866648674. The cubic root of 42686448 is about 349.4861793835.

It can be divided in two parts, 42686 and 448, that added together give a palindrome (43134).

The spelling of 42686448 in words is "forty-two million, six hundred eighty-six thousand, four hundred forty-eight".