4632314400 has 288 divisors, whose sum is σ = 19147524480. Its totient is φ = 1058780160.

The previous prime is 4632314371. The next prime is 4632314413. The reversal of 4632314400 is 44132364.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135882 + ... + 166518.

It is an arithmetic number, because the mean of its divisors is an integer number (66484460).

Almost surely, 2^4632314400 is an apocalyptic number.

4632314400 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 4632314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9573762240).

4632314400 is an abundant number, since it is smaller than the sum of its proper divisors (14515210080).

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

4632314400 is a wasteful number, since it uses less digits than its factorization.

4632314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30673 (or 30654 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 4632314400 is about 68061.1078370019. The cubic root of 4632314400 is about 1666.9887768541.

Adding to 4632314400 its reverse (44132364), we get a palindrome (4676446764).

The spelling of 4632314400 in words is "four billion, six hundred thirty-two million, three hundred fourteen thousand, four hundred".