398540800 has 180 divisors, whose sum is σ = 1137670240. Its totient is φ = 135659520.

The previous prime is 398540797. The next prime is 398540819. The reversal of 398540800 is 8045893.

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 398540800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2867131 + ... + 2867269.

Almost surely, 2^398540800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 398540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568835120).

398540800 is an abundant number, since it is smaller than the sum of its proper divisors (739129440).

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

398540800 is an equidigital number, since it uses as much as digits as its factorization.

398540800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 398540800 is about 19963.4866694172. The cubic root of 398540800 is about 735.9092515711.

The spelling of 398540800 in words is "three hundred ninety-eight million, five hundred forty thousand, eight hundred".