4530400 has 72 divisors (see below), whose sum is σ = 12655440. Its totient is φ = 1551360.

The previous prime is 4530359. The next prime is 4530401. The reversal of 4530400 is 40354.

4530400 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4530401) by changing a digit.

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, 5196 + ... + 6004.

It is an arithmetic number, because the mean of its divisors is an integer number (175770).

Almost surely, 2^4530400 is an apocalyptic number.

4530400 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 4530400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6327720).

4530400 is an abundant number, since it is smaller than the sum of its proper divisors (8125040).

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

4530400 is a wasteful number, since it uses less digits than its factorization.

4530400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 4530400 is about 2128.4736315022. The cubic root of 4530400 is about 165.4673009454.

Adding to 4530400 its reverse (40354), we get a palindrome (4570754).

The spelling of 4530400 in words is "four million, five hundred thirty thousand, four hundred".