398916 has 36 divisors (see below), whose sum is σ = 1153152. Its totient is φ = 113904.

The previous prime is 398903. The next prime is 398917. The reversal of 398916 is 619893.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (398917) by changing a digit.

398916 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 11 ways as a sum of consecutive naturals, for example, 540 + ... + 1043.

It is an arithmetic number, because the mean of its divisors is an integer number (32032).

2³⁹⁸⁹¹⁶ is an apocalyptic number.

398916 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

398916 is an abundant number, since it is smaller than the sum of its proper divisors (754236).

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

398916 is a wasteful number, since it uses less digits than its factorization.

398916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600 (or 1595 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 398916 is about 631.5979733976. The cubic root of 398916 is about 73.6140115888.

It can be divided in two parts, 3989 and 16, that added together give a triangular number (4005 = T₈₉).

The spelling of 398916 in words is "three hundred ninety-eight thousand, nine hundred sixteen".