42488208 has 120 divisors (see below), whose sum is σ = 138322496. Its totient is φ = 11923200.

The previous prime is 42488207. The next prime is 42488213. The reversal of 42488208 is 80288424.

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

It is not an unprimeable number, because it can be changed into a prime (42488203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61143 + ... + 61833.

Almost surely, 2^42488208 is an apocalyptic number.

42488208 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 42488208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69161248).

42488208 is an abundant number, since it is smaller than the sum of its proper divisors (95834288).

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

42488208 is a wasteful number, since it uses less digits than its factorization.

42488208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 42488208 is about 6518.2979373453. The cubic root of 42488208 is about 348.9443238141.

The spelling of 42488208 in words is "forty-two million, four hundred eighty-eight thousand, two hundred eight".