42406080 has 112 divisors (see below), whose sum is σ = 135965184. Its totient is φ = 11197440.

The previous prime is 42406069. The next prime is 42406087. The reversal of 42406080 is 8060424.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 42406080.

It is not an unprimeable number, because it can be changed into a prime (42406087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156345 + ... + 156615.

Almost surely, 2^42406080 is an apocalyptic number.

42406080 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 42406080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67982592).

42406080 is an abundant number, since it is smaller than the sum of its proper divisors (93559104).

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

42406080 is a wasteful number, since it uses less digits than its factorization.

42406080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 42406080 is about 6511.9950859932. The cubic root of 42406080 is about 348.7193470059.

The spelling of 42406080 in words is "forty-two million, four hundred six thousand, eighty".