398102600 has 192 divisors, whose sum is σ = 1149033600. Its totient is φ = 125153280.

The previous prime is 398102597. The next prime is 398102603. The reversal of 398102600 is 6201893.

It is an interprime number because it is at equal distance from previous prime (398102597) and next prime (398102603).

It is not an unprimeable number, because it can be changed into a prime (398102603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1023206 + ... + 1023594.

It is an arithmetic number, because the mean of its divisors is an integer number (5984550).

Almost surely, 2^398102600 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 398102600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574516800).

398102600 is an abundant number, since it is smaller than the sum of its proper divisors (750931000).

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

398102600 is a wasteful number, since it uses less digits than its factorization.

398102600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 398102600 is about 19952.5086142069. The cubic root of 398102600 is about 735.6394392167.

The spelling of 398102600 in words is "three hundred ninety-eight million, one hundred two thousand, six hundred".