398500800 has 168 divisors, whose sum is σ = 1329824112. Its totient is φ = 104448000.

The previous prime is 398500769. The next prime is 398500807. The reversal of 398500800 is 8005893.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398500807) 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, 292120 + ... + 293480.

Almost surely, 2^398500800 is an apocalyptic number.

398500800 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 398500800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664912056).

398500800 is an abundant number, since it is smaller than the sum of its proper divisors (931323312).

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

398500800 is a wasteful number, since it uses less digits than its factorization.

398500800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1447 (or 1432 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 398500800 is about 19962.4848152729. The cubic root of 398500800 is about 735.8846306248.

The spelling of 398500800 in words is "three hundred ninety-eight million, five hundred thousand, eight hundred".