4561600 has 42 divisors (see below), whose sum is σ = 11228324. Its totient is φ = 1824000.

The previous prime is 4561591. The next prime is 4561603. The reversal of 4561600 is 61654.

4561600 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (4561603) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 175 + ... + 3025.

Almost surely, 2^4561600 is an apocalyptic number.

4561600 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 4561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5614162).

4561600 is an abundant number, since it is smaller than the sum of its proper divisors (6666724).

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

4561600 is a wasteful number, since it uses less digits than its factorization.

4561600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2873 (or 2858 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 4561600 is about 2135.7902518740. The cubic root of 4561600 is about 165.8462795265.

The spelling of 4561600 in words is "four million, five hundred sixty-one thousand, six hundred".