2398400450329 has 9 divisors (see below), whose sum is σ = 2597106312093. Its totient is φ = 2213889523872.

The previous prime is 2398400450323. The next prime is 2398400450333. The reversal of 2398400450329 is 9230540048932.

The square root of 2398400450329 is 1548677.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1785230015625 + 613170434704 = 1336125^2 + 783052^2 .

It is not a de Polignac number, because 2398400450329 - 2¹¹ = 2398400448281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2398400450323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 20073237 + ... + 20192365.

Almost surely, 2^{2398400450329} is an apocalyptic number.

2398400450329 is the 1548677-th square number.

2398400450329 is the 774339-th centered octagonal number.

It is an amenable number.

2398400450329 is a deficient number, since it is larger than the sum of its proper divisors (198705861764).

2398400450329 is an frugal number, since it uses more digits than its factorization.

2398400450329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238284 (or 119142 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 49.

Multiplying 2398400450329 by its sum of digits (49), we get a square (117521622066121 = 10840739²).

The spelling of 2398400450329 in words is "two trillion, three hundred ninety-eight billion, four hundred million, four hundred fifty thousand, three hundred twenty-nine".