42846408 has 80 divisors (see below), whose sum is σ = 130941360. Its totient is φ = 12981600.

The previous prime is 42846403. The next prime is 42846413. The reversal of 42846408 is 80464824.

42846408 is a `hidden beast` number, since 4 + 2 + 8 + 4 + 640 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (42846403) and next prime (42846413).

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

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (42846403) 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 19 ways as a sum of consecutive naturals, for example, 4123 + ... + 10133.

It is an arithmetic number, because the mean of its divisors is an integer number (1636767).

Almost surely, 2^42846408 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 42846408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65470680).

42846408 is an abundant number, since it is smaller than the sum of its proper divisors (88094952).

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

42846408 is a wasteful number, since it uses less digits than its factorization.

42846408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6040 (or 6027 counting only the distinct ones).

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

The square root of 42846408 is about 6545.7167674747. The cubic root of 42846408 is about 349.9221813386.

The spelling of 42846408 in words is "forty-two million, eight hundred forty-six thousand, four hundred eight".