4523904 has 256 divisors, whose sum is σ = 17625600. Its totient is φ = 1105920.

The previous prime is 4523851. The next prime is 4523917. The reversal of 4523904 is 4093254.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 266104 + ... + 266120.

It is an arithmetic number, because the mean of its divisors is an integer number (68850).

Almost surely, 2^4523904 is an apocalyptic number.

4523904 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 4523904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8812800).

4523904 is an abundant number, since it is smaller than the sum of its proper divisors (13101696).

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

4523904 is a wasteful number, since it uses less digits than its factorization.

4523904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 4523904 is about 2126.9471079460. The cubic root of 4523904 is about 165.3881769726.

It can be divided in two parts, 452 and 3904, that added together give a square (4356 = 66²).

The spelling of 4523904 in words is "four million, five hundred twenty-three thousand, nine hundred four".