398676800 has 84 divisors (see below), whose sum is σ = 995903520. Its totient is φ = 157048320.

The previous prime is 398676793. The next prime is 398676821. The reversal of 398676800 is 8676893.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 105341 + ... + 109059.

Almost surely, 2^398676800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 398676800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497951760).

398676800 is an abundant number, since it is smaller than the sum of its proper divisors (597226720).

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

398676800 is a wasteful number, since it uses less digits than its factorization.

398676800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3808 (or 3793 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 47.

The square root of 398676800 is about 19966.8925974975. The cubic root of 398676800 is about 735.9929504681.

The spelling of 398676800 in words is "three hundred ninety-eight million, six hundred seventy-six thousand, eight hundred".