4097904 has 40 divisors (see below), whose sum is σ = 10773120. Its totient is φ = 1341888.

The previous prime is 4097879. The next prime is 4097917.

4097904 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2109 + ... + 3555.

It is an arithmetic number, because the mean of its divisors is an integer number (269328).

Almost surely, 2^4097904 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 4097904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5386560).

4097904 is an abundant number, since it is smaller than the sum of its proper divisors (6675216).

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

4097904 is a wasteful number, since it uses less digits than its factorization.

4097904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1517 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 4097904 is about 2024.3280366581. The cubic root of 4097904 is about 160.0247878262.

The spelling of 4097904 in words is "four million, ninety-seven thousand, nine hundred four".