398606508 has 144 divisors (see below), whose sum is σ = 1100736000. Its totient is φ = 125955648.

The previous prime is 398606503. The next prime is 398606519. The reversal of 398606508 is 805606893.

398606508 is a `hidden beast` number, since 39 + 8 + 606 + 5 + 0 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (398606503) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2226763 + ... + 2226941.

It is an arithmetic number, because the mean of its divisors is an integer number (7644000).

Almost surely, 2^398606508 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 398606508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550368000).

398606508 is an abundant number, since it is smaller than the sum of its proper divisors (702129492).

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

398606508 is a wasteful number, since it uses less digits than its factorization.

398606508 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 398606508 is about 19965.1323060980. The cubic root of 398606508 is about 735.9496928241.

The spelling of 398606508 in words is "three hundred ninety-eight million, six hundred six thousand, five hundred eight".