4259904 has 56 divisors (see below), whose sum is σ = 12301728. Its totient is φ = 1290240.

The previous prime is 4259903. The next prime is 4259909. The reversal of 4259904 is 4099524.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (4259903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1104 + ... + 3120.

Almost surely, 2^4259904 is an apocalyptic number.

4259904 is a gapful number since it is divisible by the number (44) 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 4259904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6150864).

4259904 is an abundant number, since it is smaller than the sum of its proper divisors (8041824).

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

4259904 is a wasteful number, since it uses less digits than its factorization.

4259904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2043 (or 2033 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 4259904 is about 2063.9534878480. The cubic root of 4259904 is about 162.1063164336.

The spelling of 4259904 in words is "four million, two hundred fifty-nine thousand, nine hundred four".