4551600 has 60 divisors (see below), whose sum is σ = 14584136. Its totient is φ = 1213440.

The previous prime is 4551571. The next prime is 4551601. The reversal of 4551600 is 61554.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4551601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 697 + ... + 3096.

Almost surely, 2^4551600 is an apocalyptic number.

4551600 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 4551600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7292068).

4551600 is an abundant number, since it is smaller than the sum of its proper divisors (10032536).

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

4551600 is a wasteful number, since it uses less digits than its factorization.

4551600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3814 (or 3803 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 4551600 is about 2133.4479135896. The cubic root of 4551600 is about 165.7250007227.

It can be divided in two parts, 4551 and 600, that added together give a triangular number (5151 = T₁₀₁).

The spelling of 4551600 in words is "four million, five hundred fifty-one thousand, six hundred".