398260800 has 420 divisors, whose sum is σ = 1676847040. Its totient is φ = 90823680.

The previous prime is 398260777. The next prime is 398260861. The reversal of 398260800 is 8062893.

398260800 is a `hidden beast` number, since 398 + 260 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (420).

It is a super-2 number, since 2×398260800² = 317223329633280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 906981 + ... + 907419.

Almost surely, 2^398260800 is an apocalyptic number.

398260800 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 398260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838423520).

398260800 is an abundant number, since it is smaller than the sum of its proper divisors (1278586240).

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

398260800 is a wasteful number, since it uses less digits than its factorization.

398260800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 398260800 is about 19956.4726342107. The cubic root of 398260800 is about 735.7368703371.

The spelling of 398260800 in words is "three hundred ninety-eight million, two hundred sixty thousand, eight hundred".