398301094321 has 27 divisors (see below), whose sum is σ = 441951314049. Its totient is φ = 358794176832.

The previous prime is 398301094277. The next prime is 398301094327. The reversal of 398301094321 is 123490103893.

The square root of 398301094321 is 631111.

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 236726037025 + 161575057296 = 486545^2 + 401964^2 .

It is not a de Polignac number, because 398301094321 - 2¹³ = 398301086129 is a prime.

It is a super-2 number, since 2×398301094321² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (398301094327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 352790485 + ... + 352791613.

It is an arithmetic number, because the mean of its divisors is an integer number (16368567187).

Almost surely, 2^398301094321 is an apocalyptic number.

398301094321 is the 631111-st square number.

398301094321 is the 315556-th centered octagonal number.

It is an amenable number.

398301094321 is a deficient number, since it is larger than the sum of its proper divisors (43650219728).

398301094321 is an frugal number, since it uses more digits than its factorization.

398301094321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2370 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 43.

The spelling of 398301094321 in words is "three hundred ninety-eight billion, three hundred one million, ninety-four thousand, three hundred twenty-one".