398589100452 has 216 divisors, whose sum is σ = 1128436204896. Its totient is φ = 122938373376.

The previous prime is 398589100421. The next prime is 398589100453. The reversal of 398589100452 is 254001985893.

398589100452 is a `hidden beast` number, since 3 + 9 + 8 + 5 + 89 + 100 + 452 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (398589100453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15075148 + ... + 15101564.

Almost surely, 2^398589100452 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 398589100452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564218102448).

398589100452 is an abundant number, since it is smaller than the sum of its proper divisors (729847104444).

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

398589100452 is a wasteful number, since it uses less digits than its factorization.

398589100452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26517 (or 26484 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 398589100452 in words is "three hundred ninety-eight billion, five hundred eighty-nine million, one hundred thousand, four hundred fifty-two".