42957504 has 168 divisors, whose sum is σ = 134800848. Its totient is φ = 13025280.

The previous prime is 42957493. The next prime is 42957539. The reversal of 42957504 is 40575924.

42957504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 401419 + ... + 401525.

It is an arithmetic number, because the mean of its divisors is an integer number (802386).

Almost surely, 2^42957504 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 42957504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67400424).

42957504 is an abundant number, since it is smaller than the sum of its proper divisors (91843344).

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

42957504 is a wasteful number, since it uses less digits than its factorization.

42957504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 42957504 is about 6554.1974337061. The cubic root of 42957504 is about 350.2243568324.

The spelling of 42957504 in words is "forty-two million, nine hundred fifty-seven thousand, five hundred four".