398481444 has 45 divisors (see below), whose sum is σ = 1042649377. Its totient is φ = 132707376.

The previous prime is 398481439. The next prime is 398481449. The reversal of 398481444 is 444184893.

The square root of 398481444 is 19962.

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 (398481439) and next prime (398481449).

It can be written as a sum of positive squares in only one way, i.e., 6441444 + 392040000 = 2538^2 + 19800^2 .

It is a super-2 number, since 2×398481444² = 317574922424650272, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 398481444.

It is not an unprimeable number, because it can be changed into a prime (398481449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 358762 + ... + 359870.

Almost surely, 2^398481444 is an apocalyptic number.

398481444 is the 19962-nd square number.

It is an amenable number.

398481444 is an abundant number, since it is smaller than the sum of its proper divisors (644167933).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

398481444 is an equidigital number, since it uses as much as digits as its factorization.

398481444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2234 (or 1114 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The cubic root of 398481444 is about 735.8727159574.

The spelling of 398481444 in words is "three hundred ninety-eight million, four hundred eighty-one thousand, four hundred forty-four".