4461600 has 216 divisors, whose sum is σ = 17155152. Its totient is φ = 998400.

The previous prime is 4461577. The next prime is 4461617. The reversal of 4461600 is 61644.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 343194 + ... + 343206.

It is an arithmetic number, because the mean of its divisors is an integer number (79422).

Almost surely, 2^4461600 is an apocalyptic number.

4461600 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 4461600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8577576).

4461600 is an abundant number, since it is smaller than the sum of its proper divisors (12693552).

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

4461600 is a wasteful number, since it uses less digits than its factorization.

4461600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 4461600 is about 2112.2499852053. The cubic root of 4461600 is about 164.6254128727.

The spelling of 4461600 in words is "four million, four hundred sixty-one thousand, six hundred".