398449800 has 384 divisors, whose sum is σ = 1599897600. Its totient is φ = 89268480.

The previous prime is 398449787. The next prime is 398449801. The reversal of 398449800 is 8944893.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (398449801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3137337 + ... + 3137463.

It is an arithmetic number, because the mean of its divisors is an integer number (4166400).

Almost surely, 2^398449800 is an apocalyptic number.

398449800 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 398449800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799948800).

398449800 is an abundant number, since it is smaller than the sum of its proper divisors (1201447800).

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

398449800 is a wasteful number, since it uses less digits than its factorization.

398449800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 227 counting only the distinct ones).

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

The square root of 398449800 is about 19961.2073783126. The cubic root of 398449800 is about 735.8532365287.

The spelling of 398449800 in words is "three hundred ninety-eight million, four hundred forty-nine thousand, eight hundred".