42507570 has 64 divisors (see below), whose sum is σ = 119460096. Its totient is φ = 9477120.

The previous prime is 42507559. The next prime is 42507571. The reversal of 42507570 is 7570524.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (42507571) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6142 + ... + 11078.

It is an arithmetic number, because the mean of its divisors is an integer number (1866564).

Almost surely, 2^42507570 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42507570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59730048).

42507570 is an abundant number, since it is smaller than the sum of its proper divisors (76952526).

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

42507570 is a wasteful number, since it uses less digits than its factorization.

42507570 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4995.

The product of its (nonzero) digits is 9800, while the sum is 30.

The square root of 42507570 is about 6519.7829718481. The cubic root of 42507570 is about 348.9973207458.

The spelling of 42507570 in words is "forty-two million, five hundred seven thousand, five hundred seventy".