4512400 has 60 divisors (see below), whose sum is σ = 11243700. Its totient is φ = 1738240.

The previous prime is 4512397. The next prime is 4512407. The reversal of 4512400 is 42154.

4512400 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 318096 + 4194304 = 564^2 + 2048^2 .

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

It is not an unprimeable number, because it can be changed into a prime (4512407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11406 + ... + 11794.

It is an arithmetic number, because the mean of its divisors is an integer number (187395).

Almost surely, 2^4512400 is an apocalyptic number.

4512400 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 4512400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5621850).

4512400 is an abundant number, since it is smaller than the sum of its proper divisors (6731300).

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

4512400 is a wasteful number, since it uses less digits than its factorization.

4512400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 4512400 is about 2124.2410409367. The cubic root of 4512400 is about 165.2478674359.

Adding to 4512400 its reverse (42154), we get a palindrome (4554554).

The spelling of 4512400 in words is "four million, five hundred twelve thousand, four hundred".