398455200 has 720 divisors, whose sum is σ = 1746825696. Its totient is φ = 87091200.

The previous prime is 398455171. The next prime is 398455217. The reversal of 398455200 is 2554893.

398455200 is a `hidden beast` number, since 3 + 98 + 45 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 119 ways as a sum of consecutive naturals, for example, 9266379 + ... + 9266421.

Almost surely, 2^398455200 is an apocalyptic number.

398455200 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 398455200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873412848).

398455200 is an abundant number, since it is smaller than the sum of its proper divisors (1348370496).

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

398455200 is a wasteful number, since it uses less digits than its factorization.

398455200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 398455200 is about 19961.3426402134. The cubic root of 398455200 is about 735.8565607362.

The spelling of 398455200 in words is "three hundred ninety-eight million, four hundred fifty-five thousand, two hundred".