398569600 has 288 divisors, whose sum is σ = 1180437840. Its totient is φ = 131788800.

The previous prime is 398569583. The next prime is 398569609. The reversal of 398569600 is 6965893.

It is not an unprimeable number, because it can be changed into a prime (398569609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5948767 + ... + 5948833.

Almost surely, 2^398569600 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 398569600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590218920).

398569600 is an abundant number, since it is smaller than the sum of its proper divisors (781868240).

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

398569600 is a wasteful number, since it uses less digits than its factorization.

398569600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 46.

The square root of 398569600 is about 19964.2079732706. The cubic root of 398569600 is about 735.9269776324.

The spelling of 398569600 in words is "three hundred ninety-eight million, five hundred sixty-nine thousand, six hundred".