4812400 has 60 divisors (see below), whose sum is σ = 11831832. Its totient is φ = 1880320.

The previous prime is 4812383. The next prime is 4812413. The reversal of 4812400 is 42184.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21087 + ... + 21313.

Almost surely, 2^4812400 is an apocalyptic number.

4812400 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 4812400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5915916).

4812400 is an abundant number, since it is smaller than the sum of its proper divisors (7019432).

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

4812400 is a wasteful number, since it uses less digits than its factorization.

4812400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 4812400 is about 2193.7183046143. The cubic root of 4812400 is about 168.8316660043.

Adding to 4812400 its reverse (42184), we get a palindrome (4854584).

The spelling of 4812400 in words is "four million, eight hundred twelve thousand, four hundred".