42457856 has 144 divisors (see below), whose sum is σ = 107923200. Its totient is φ = 16257024.

The previous prime is 42457843. The next prime is 42457867. The reversal of 42457856 is 65875424.

It is a super-2 number, since 2×42457856² = 3605339072233472, which contains 22 as substring.

Its product of digits (268800) is a multiple of the sum of its prime divisors (100).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 987371 + ... + 987413.

Almost surely, 2^42457856 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 42457856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53961600).

42457856 is an abundant number, since it is smaller than the sum of its proper divisors (65465344).

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

42457856 is a wasteful number, since it uses less digits than its factorization.

42457856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 100 counting only the distinct ones).

The product of its digits is 268800, while the sum is 41.

The square root of 42457856 is about 6515.9693062506. The cubic root of 42457856 is about 348.8612130594.

The spelling of 42457856 in words is "forty-two million, four hundred fifty-seven thousand, eight hundred fifty-six".