4632422400 has 360 divisors, whose sum is σ = 17172865710. Its totient is φ = 1234206720.

The previous prime is 4632422383. The next prime is 4632422423. The reversal of 4632422400 is 42242364.

4632422400 is a `hidden beast` number, since 4 + 632 + 4 + 2 + 24 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2149991424 + 2482430976 = 46368^2 + 49824^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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 29 ways as a sum of consecutive naturals, for example, 4146642 + ... + 4147758.

Almost surely, 2^4632422400 is an apocalyptic number.

4632422400 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 4632422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8586432855).

4632422400 is an abundant number, since it is smaller than the sum of its proper divisors (12540443310).

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

4632422400 is a wasteful number, since it uses less digits than its factorization.

4632422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 4632422400 is about 68061.9012370357. The cubic root of 4632422400 is about 1667.0017317454.

Adding to 4632422400 its reverse (42242364), we get a palindrome (4674664764).

The spelling of 4632422400 in words is "four billion, six hundred thirty-two million, four hundred twenty-two thousand, four hundred".