398947200 has 192 divisors, whose sum is σ = 1360292400. Its totient is φ = 102645760.

The previous prime is 398947193. The next prime is 398947201. The reversal of 398947200 is 2749893.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398947201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 277684 + ... + 279116.

Almost surely, 2^398947200 is an apocalyptic number.

398947200 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 398947200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680146200).

398947200 is an abundant number, since it is smaller than the sum of its proper divisors (961345200).

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

398947200 is a wasteful number, since it uses less digits than its factorization.

398947200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489 (or 1472 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 398947200 is about 19973.6626586112. The cubic root of 398947200 is about 736.1593070404.

The spelling of 398947200 in words is "three hundred ninety-eight million, nine hundred forty-seven thousand, two hundred".