398490450121 has 27 divisors (see below), whose sum is σ = 430178527623. Its totient is φ = 369060431040.

The previous prime is 398490450109. The next prime is 398490450133. The reversal of 398490450121 is 121054094893.

The square root of 398490450121 is 631261.

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

It is an interprime number because it is at equal distance from previous prime (398490450109) and next prime (398490450133).

It can be written as a sum of positive squares in only one way, i.e., 310243430025 + 88247020096 = 556995^2 + 297064^2 .

It is not a de Polignac number, because 398490450121 - 2¹⁷ = 398490319049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (398490450151) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 761931766 + ... + 761932288.

Almost surely, 2^398490450121 is an apocalyptic number.

398490450121 is the 631261-st square number.

398490450121 is the 315631-st centered octagonal number.

It is an amenable number.

398490450121 is a deficient number, since it is larger than the sum of its proper divisors (31688077502).

398490450121 is an frugal number, since it uses more digits than its factorization.

398490450121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 46.

The spelling of 398490450121 in words is "three hundred ninety-eight billion, four hundred ninety million, four hundred fifty thousand, one hundred twenty-one".