398698800 has 120 divisors (see below), whose sum is σ = 1292875584. Its totient is φ = 105012480.

The previous prime is 398698789. The next prime is 398698829. The reversal of 398698800 is 8896893.

398698800 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97599 + ... + 101601.

Almost surely, 2^398698800 is an apocalyptic number.

398698800 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 398698800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646437792).

398698800 is an abundant number, since it is smaller than the sum of its proper divisors (894176784).

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

398698800 is a wasteful number, since it uses less digits than its factorization.

398698800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4107 (or 4096 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The square root of 398698800 is about 19967.4435018607. The cubic root of 398698800 is about 736.0064882068.

The spelling of 398698800 in words is "three hundred ninety-eight million, six hundred ninety-eight thousand, eight hundred".