398038595409 has 81 divisors (see below), whose sum is σ = 724531303899. Its totient is φ = 209863573920.

The previous prime is 398038595377. The next prime is 398038595429. The reversal of 398038595409 is 904595830893.

The square root of 398038595409 is 630903.

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

398038595409 is a `hidden beast` number, since 3 + 9 + 8 + 0 + 3 + 85 + 9 + 540 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 58881449025 + 339157146384 = 242655^2 + 582372^2 .

It is not a de Polignac number, because 398038595409 - 2⁵ = 398038595377 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (398038595429) 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 80 ways as a sum of consecutive naturals, for example, 172235364 + ... + 172237674.

Almost surely, 2^398038595409 is an apocalyptic number.

398038595409 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

398038595409 is the 630903-rd square number.

398038595409 is the 315452-nd centered octagonal number.

It is an amenable number.

398038595409 is a deficient number, since it is larger than the sum of its proper divisors (326492708490).

398038595409 is an equidigital number, since it uses as much as digits as its factorization.

398038595409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4668 (or 2334 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 63.

The spelling of 398038595409 in words is "three hundred ninety-eight billion, thirty-eight million, five hundred ninety-five thousand, four hundred nine".