4501600 has 72 divisors (see below), whose sum is σ = 11671128. Its totient is φ = 1689600.

The previous prime is 4501577. The next prime is 4501619. The reversal of 4501600 is 61054.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 11 ways as a sum of consecutive naturals, for example, 13435 + ... + 13765.

It is an arithmetic number, because the mean of its divisors is an integer number (162099).

Almost surely, 2^4501600 is an apocalyptic number.

4501600 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 4501600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5835564).

4501600 is an abundant number, since it is smaller than the sum of its proper divisors (7169528).

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

4501600 is a wasteful number, since it uses less digits than its factorization.

4501600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 4501600 is about 2121.6974336601. The cubic root of 4501600 is about 165.1159271024.

Adding to 4501600 its reverse (61054), we get a palindrome (4562654).

The spelling of 4501600 in words is "four million, five hundred one thousand, six hundred".