398624288689 has 9 divisors (see below), whose sum is σ = 438164909931. Its totient is φ = 362379403320.

The previous prime is 398624288687. The next prime is 398624288719. The reversal of 398624288689 is 986882426893.

The square root of 398624288689 is 631367.

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., 16833765025 + 381790523664 = 129745^2 + 617892^2 .

It is not a de Polignac number, because 398624288689 - 2¹ = 398624288687 is a prime.

It is a super-2 number, since 2×398624288689² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (398624288687) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6916339 + ... + 6973735.

Almost surely, 2^398624288689 is an apocalyptic number.

398624288689 is the 631367-th square number.

398624288689 is the 315684-th centered octagonal number.

It is an amenable number.

398624288689 is a deficient number, since it is larger than the sum of its proper divisors (39540621242).

398624288689 is an frugal number, since it uses more digits than its factorization.

398624288689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114816 (or 57408 counting only the distinct ones).

The product of its digits is 573308928, while the sum is 73.

The spelling of 398624288689 in words is "three hundred ninety-eight billion, six hundred twenty-four million, two hundred eighty-eight thousand, six hundred eighty-nine".