398610 has 48 divisors (see below), whose sum is σ = 1070784. Its totient is φ = 102816.

The previous prime is 398609. The next prime is 398611. The reversal of 398610 is 16893.

It is an interprime number because it is at equal distance from previous prime (398609) and next prime (398611).

It is not an unprimeable number, because it can be changed into a prime (398611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3819 + ... + 3921.

It is an arithmetic number, because the mean of its divisors is an integer number (22308).

2³⁹⁸⁶¹⁰ is an apocalyptic number.

398610 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 398610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535392).

398610 is an abundant number, since it is smaller than the sum of its proper divisors (672174).

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

398610 is a wasteful number, since it uses less digits than its factorization.

398610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 398610 is about 631.3556842225. The cubic root of 398610 is about 73.5951841918.

It can be divided in two parts, 39 and 8610, that multiplied together give a triangular number (335790 = T₈₁₉).

The spelling of 398610 in words is "three hundred ninety-eight thousand, six hundred ten".