398460 has 48 divisors (see below), whose sum is σ = 1159200. Its totient is φ = 102144.

The previous prime is 398459. The next prime is 398467. The reversal of 398460 is 64893.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1626 + ... + 1854.

It is an arithmetic number, because the mean of its divisors is an integer number (24150).

2³⁹⁸⁴⁶⁰ is an apocalyptic number.

398460 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 398460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579600).

398460 is an abundant number, since it is smaller than the sum of its proper divisors (760740).

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

398460 is a wasteful number, since it uses less digits than its factorization.

398460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 398460 is about 631.2368810518. The cubic root of 398460 is about 73.5859515562.

It can be divided in two parts, 398 and 460, that added together give a palindrome (858).

The spelling of 398460 in words is "three hundred ninety-eight thousand, four hundred sixty".