398161000 has 48 divisors (see below), whose sum is σ = 933175620. Its totient is φ = 159012000.

The previous prime is 398160989. The next prime is 398161013. The reversal of 398161000 is 161893.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 269156836 + 129004164 = 16406^2 + 11358^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 398161000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 630685 + ... + 631315.

Almost surely, 2^398161000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 398161000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466587810).

398161000 is an abundant number, since it is smaller than the sum of its proper divisors (535014620).

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

398161000 is an frugal number, since it uses more digits than its factorization.

398161000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 398161000 is about 19953.9720356625. The cubic root of 398161000 is about 735.6754092093.

The spelling of 398161000 in words is "three hundred ninety-eight million, one hundred sixty-one thousand".