398851200 has 288 divisors, whose sum is σ = 1553806800. Its totient is φ = 96614400.

The previous prime is 398851163. The next prime is 398851217. The reversal of 398851200 is 2158893.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 316171 + ... + 317429.

Almost surely, 2^398851200 is an apocalyptic number.

398851200 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 398851200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776903400).

398851200 is an abundant number, since it is smaller than the sum of its proper divisors (1154955600).

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

398851200 is a wasteful number, since it uses less digits than its factorization.

398851200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 398851200 is about 19971.2593493750. The cubic root of 398851200 is about 736.1002541442.

The spelling of 398851200 in words is "three hundred ninety-eight million, eight hundred fifty-one thousand, two hundred".