42457536 has 84 divisors (see below), whose sum is σ = 132780024. Its totient is φ = 12864000.

The previous prime is 42457529. The next prime is 42457543. The reversal of 42457536 is 63575424.

It is an interprime number because it is at equal distance from previous prime (42457529) and next prime (42457543).

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

It is a self number, because there is not a number n which added to its sum of digits gives 42457536.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2986 + ... + 9686.

Almost surely, 2^42457536 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 42457536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66390012).

42457536 is an abundant number, since it is smaller than the sum of its proper divisors (90322488).

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

42457536 is a wasteful number, since it uses less digits than its factorization.

42457536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6730 (or 6717 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 42457536 is about 6515.9447511470. The cubic root of 42457536 is about 348.8603366149.

It can be divided in two parts, 4245 and 7536, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 42457536 in words is "forty-two million, four hundred fifty-seven thousand, five hundred thirty-six".