4617338401 has 9 divisors (see below), whose sum is σ = 5000796531. Its totient is φ = 4261343112.

The previous prime is 4617338387. The next prime is 4617338413. The reversal of 4617338401 is 1048337164.

The square root of 4617338401 is 67951.

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

It can be written as a sum of positive squares in only one way, i.e., 683038225 + 3934300176 = 26135^2 + 62724^2 .

It is not a de Polignac number, because 4617338401 - 2¹³ = 4617330209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4617338441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 880750 + ... + 885976.

It is an arithmetic number, because the mean of its divisors is an integer number (555644059).

Almost surely, 2^4617338401 is an apocalyptic number.

4617338401 is the 67951-st square number.

4617338401 is the 33976-th centered octagonal number.

It is an amenable number.

4617338401 is a deficient number, since it is larger than the sum of its proper divisors (383458130).

4617338401 is an frugal number, since it uses more digits than its factorization.

4617338401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10480 (or 5240 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The cubic root of 4617338401 is about 1665.1904120205.

The spelling of 4617338401 in words is "four billion, six hundred seventeen million, three hundred thirty-eight thousand, four hundred one".