42904584 has 96 divisors (see below), whose sum is σ = 124176000. Its totient is φ = 13343616.

The previous prime is 42904579. The next prime is 42904597. The reversal of 42904584 is 48540924.

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

It is a congruent number.

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, 107874 + ... + 108270.

It is an arithmetic number, because the mean of its divisors is an integer number (1293500).

Almost surely, 2^42904584 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 42904584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62088000).

42904584 is an abundant number, since it is smaller than the sum of its proper divisors (81271416).

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

42904584 is a wasteful number, since it uses less digits than its factorization.

42904584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 42904584 is about 6550.1590820376. The cubic root of 42904584 is about 350.0804821721.

The spelling of 42904584 in words is "forty-two million, nine hundred four thousand, five hundred eighty-four".