398464 has 32 divisors (see below), whose sum is σ = 869040. Its totient is φ = 180480.

The previous prime is 398459. The next prime is 398467. The reversal of 398464 is 464893.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (398467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1267 + ... + 1549.

2³⁹⁸⁴⁶⁴ 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 398464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434520).

398464 is an abundant number, since it is smaller than the sum of its proper divisors (470576).

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

398464 is a wasteful number, since it uses less digits than its factorization.

398464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 296 counting only the distinct ones).

The product of its digits is 20736, while the sum is 34.

The square root of 398464 is about 631.2400494265. The cubic root of 398464 is about 73.5861977899.

The spelling of 398464 in words is "three hundred ninety-eight thousand, four hundred sixty-four".