4613126400 has 243 divisors, whose sum is σ = 16551453009. Its totient is φ = 1225820160.

The previous prime is 4613126393. The next prime is 4613126429. The reversal of 4613126400 is 46213164.

The square root of 4613126400 is 67920.

It is a perfect power (a square), and thus also a powerful number.

4613126400 is a `hidden beast` number, since 4 + 6 + 1 + 3 + 12 + 640 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1660725504 + 2952400896 = 40752^2 + 54336^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16300659 + ... + 16300941.

Almost surely, 2^4613126400 is an apocalyptic number.

4613126400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4613126400 is the 67920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4613126400

4613126400 is an abundant number, since it is smaller than the sum of its proper divisors (11938326609).

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

4613126400 is an equidigital number, since it uses as much as digits as its factorization.

4613126400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The cubic root of 4613126400 is about 1664.6839212789.

Adding to 4613126400 its reverse (46213164), we get a palindrome (4659339564).

The spelling of 4613126400 in words is "four billion, six hundred thirteen million, one hundred twenty-six thousand, four hundred".