42575904 has 144 divisors (see below), whose sum is σ = 141523200. Its totient is φ = 12136320.

The previous prime is 42575899. The next prime is 42575933. The reversal of 42575904 is 40957524.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98569 + ... + 98999.

It is an arithmetic number, because the mean of its divisors is an integer number (982800).

Almost surely, 2^42575904 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 42575904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70761600).

42575904 is an abundant number, since it is smaller than the sum of its proper divisors (98947296).

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

42575904 is a wasteful number, since it uses less digits than its factorization.

42575904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 443 counting only the distinct ones).

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

The square root of 42575904 is about 6525.0213792753. The cubic root of 42575904 is about 349.1842334532.

The spelling of 42575904 in words is "forty-two million, five hundred seventy-five thousand, nine hundred four".