398273364 has 144 divisors (see below), whose sum is σ = 1100736000. Its totient is φ = 121020480.

The previous prime is 398273363. The next prime is 398273417. The reversal of 398273364 is 463372893.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398273363) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2865207 + ... + 2865345.

It is an arithmetic number, because the mean of its divisors is an integer number (7644000).

Almost surely, 2^398273364 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 398273364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550368000).

398273364 is an abundant number, since it is smaller than the sum of its proper divisors (702462636).

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

398273364 is a wasteful number, since it uses less digits than its factorization.

398273364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 293 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 398273364 is about 19956.7874168164. The cubic root of 398273364 is about 735.7446070604.

The spelling of 398273364 in words is "three hundred ninety-eight million, two hundred seventy-three thousand, three hundred sixty-four".