398860800 has 480 divisors, whose sum is σ = 1534401792. Its totient is φ = 90439680.

The previous prime is 398860789. The next prime is 398860811. The reversal of 398860800 is 8068893.

It is an interprime number because it is at equal distance from previous prime (398860789) and next prime (398860811).

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8486377 + ... + 8486423.

Almost surely, 2^398860800 is an apocalyptic number.

398860800 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 398860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767200896).

398860800 is an abundant number, since it is smaller than the sum of its proper divisors (1135540992).

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

398860800 is a wasteful number, since it uses less digits than its factorization.

398860800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 398860800 is about 19971.4996933130. The cubic root of 398860800 is about 736.1061598602.

The spelling of 398860800 in words is "three hundred ninety-eight million, eight hundred sixty thousand, eight hundred".