4752312400 has 120 divisors (see below), whose sum is σ = 12857534208. Its totient is φ = 1672320000.

The previous prime is 4752312377. The next prime is 4752312403. The reversal of 4752312400 is 42132574.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4752312403) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 118980 + ... + 153820.

Almost surely, 2^4752312400 is an apocalyptic number.

4752312400 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 4752312400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6428767104).

4752312400 is an abundant number, since it is smaller than the sum of its proper divisors (8105221808).

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

4752312400 is a wasteful number, since it uses less digits than its factorization.

4752312400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34901 (or 34890 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 4752312400 is about 68937.0176320386. The cubic root of 4752312400 is about 1681.2604392142.

Adding to 4752312400 its reverse (42132574), we get a palindrome (4794444974).

The spelling of 4752312400 in words is "four billion, seven hundred fifty-two million, three hundred twelve thousand, four hundred".