398281800 has 576 divisors, whose sum is σ = 1628467200. Its totient is φ = 79833600.

The previous prime is 398281787. The next prime is 398281817. The reversal of 398281800 is 8182893.

It is a super-2 number, since 2×398281800² = 317256784422480000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12847785 + ... + 12847815.

It is an arithmetic number, because the mean of its divisors is an integer number (2827200).

Almost surely, 2^398281800 is an apocalyptic number.

398281800 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 398281800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814233600).

398281800 is an abundant number, since it is smaller than the sum of its proper divisors (1230185400).

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

398281800 is a wasteful number, since it uses less digits than its factorization.

398281800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 398281800 is about 19956.9987723605. The cubic root of 398281800 is about 735.7498017318.

The spelling of 398281800 in words is "three hundred ninety-eight million, two hundred eighty-one thousand, eight hundred".