42684408 has 112 divisors (see below), whose sum is σ = 129454920. Its totient is φ = 13110336.

The previous prime is 42684401. The next prime is 42684437. The reversal of 42684408 is 80448624.

It is a super-3 number, since 3×42684408³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42684401) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 75535 + ... + 76097.

Almost surely, 2^42684408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42684408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64727460).

42684408 is an abundant number, since it is smaller than the sum of its proper divisors (86770512).

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

42684408 is a wasteful number, since it uses less digits than its factorization.

42684408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 42684408 is about 6533.3305442171. The cubic root of 42684408 is about 349.4806119400.

The spelling of 42684408 in words is "forty-two million, six hundred eighty-four thousand, four hundred eight".