4289904 has 60 divisors (see below), whose sum is σ = 12405952. Its totient is φ = 1383840.

The previous prime is 4289893. The next prime is 4289911. The reversal of 4289904 is 4099824.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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 11 ways as a sum of consecutive naturals, for example, 138369 + ... + 138399.

Almost surely, 2^4289904 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 4289904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6202976).

4289904 is an abundant number, since it is smaller than the sum of its proper divisors (8116048).

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

4289904 is an equidigital number, since it uses as much as digits as its factorization.

4289904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 4289904 is about 2071.2083429728. The cubic root of 4289904 is about 162.4859664410.

Multiplying 4289904 by its product of nonzero digits (20736), we get a cube (88955449344 = 4464³).

The spelling of 4289904 in words is "four million, two hundred eighty-nine thousand, nine hundred four".