42405888 has 208 divisors, whose sum is σ = 141540480. Its totient is φ = 11010048.

The previous prime is 42405887. The next prime is 42405889. The reversal of 42405888 is 88850424.

It is an interprime number because it is at equal distance from previous prime (42405887) and next prime (42405889).

It is not an unprimeable number, because it can be changed into a prime (42405887) 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, 1462258 + ... + 1462286.

Almost surely, 2^42405888 is an apocalyptic number.

42405888 is a gapful number since it is divisible by the number (48) 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 42405888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70770240).

42405888 is an abundant number, since it is smaller than the sum of its proper divisors (99134592).

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

42405888 is a wasteful number, since it uses less digits than its factorization.

42405888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 39.

The square root of 42405888 is about 6511.9803439507. The cubic root of 42405888 is about 348.7188207117.

The spelling of 42405888 in words is "forty-two million, four hundred five thousand, eight hundred eighty-eight".