398880 has 72 divisors (see below), whose sum is σ = 1366092. Its totient is φ = 105984.

The previous prime is 398863. The next prime is 398887. The reversal of 398880 is 88893.

It can be written as a sum of positive squares in 2 ways, for example, as 374544 + 24336 = 612^2 + 156^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (398887) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1302 + ... + 1578.

2³⁹⁸⁸⁸⁰ is an apocalyptic number.

398880 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 398880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683046).

398880 is an abundant number, since it is smaller than the sum of its proper divisors (967212).

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

398880 is a wasteful number, since it uses less digits than its factorization.

398880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 398880 is about 631.5694736132. The cubic root of 398880 is about 73.6117971008.

The spelling of 398880 in words is "three hundred ninety-eight thousand, eight hundred eighty".