42476688 has 60 divisors (see below), whose sum is σ = 120140748. Its totient is φ = 14008320.

The previous prime is 42476671. The next prime is 42476719. The reversal of 42476688 is 88667424.

It can be written as a sum of positive squares in 2 ways, for example, as 33039504 + 9437184 = 5748^2 + 3072^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12448 + ... + 15488.

Almost surely, 2^42476688 is an apocalyptic number.

42476688 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 42476688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60070374).

42476688 is an abundant number, since it is smaller than the sum of its proper divisors (77664060).

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

42476688 is a wasteful number, since it uses less digits than its factorization.

42476688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3152 (or 3143 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 42476688 is about 6517.4142111730. The cubic root of 42476688 is about 348.9127840673.

The spelling of 42476688 in words is "forty-two million, four hundred seventy-six thousand, six hundred eighty-eight".