398368800 has 144 divisors (see below), whose sum is σ = 1440845280. Its totient is φ = 106225920.

The previous prime is 398368799. The next prime is 398368823. The reversal of 398368800 is 8863893.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12379 + ... + 30821.

It is an arithmetic number, because the mean of its divisors is an integer number (10005870).

Almost surely, 2^398368800 is an apocalyptic number.

398368800 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 398368800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720422640).

398368800 is an abundant number, since it is smaller than the sum of its proper divisors (1042476480).

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

398368800 is a wasteful number, since it uses less digits than its factorization.

398368800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18472 (or 18453 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 398368800 is about 19959.1783398015. The cubic root of 398368800 is about 735.8033698106.

The spelling of 398368800 in words is "three hundred ninety-eight million, three hundred sixty-eight thousand, eight hundred".