4521600 has 144 divisors (see below), whose sum is σ = 16236870. Its totient is φ = 1198080.

The previous prime is 4521599. The next prime is 4521607. The reversal of 4521600 is 61254.

It is a happy number.

4521600 is a `hidden beast` number, since 45 + 21 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2903616 + 1617984 = 1704^2 + 1272^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4521607) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28722 + ... + 28878.

Almost surely, 2^4521600 is an apocalyptic number.

4521600 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 4521600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8118435).

4521600 is an abundant number, since it is smaller than the sum of its proper divisors (11715270).

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

4521600 is a wasteful number, since it uses less digits than its factorization.

4521600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 4521600 is about 2126.4054176003. The cubic root of 4521600 is about 165.3600951014.

Adding to 4521600 its reverse (61254), we get a palindrome (4582854).

The spelling of 4521600 in words is "four million, five hundred twenty-one thousand, six hundred".