42904000 has 112 divisors (see below), whose sum is σ = 110313216. Its totient is φ = 16512000.

The previous prime is 42903983. The next prime is 42904003. The reversal of 42904000 is 40924.

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42904003) 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 15 ways as a sum of consecutive naturals, for example, 247914 + ... + 248086.

Almost surely, 2^42904000 is an apocalyptic number.

42904000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55156608).

42904000 is an abundant number, since it is smaller than the sum of its proper divisors (67409216).

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

42904000 is a wasteful number, since it uses less digits than its factorization.

42904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 42904000 is about 6550.1145028160. The cubic root of 42904000 is about 350.0788937798.

Adding to 42904000 its reverse (40924), we get a palindrome (42944924).

The spelling of 42904000 in words is "forty-two million, nine hundred four thousand".