398601216 has 176 divisors, whose sum is σ = 1272415200. Its totient is φ = 122535936.

The previous prime is 398601191. The next prime is 398601223. The reversal of 398601216 is 612106893.

398601216 is a `hidden beast` number, since 39 + 8 + 601 + 2 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 358870 + ... + 359978.

Almost surely, 2^398601216 is an apocalyptic number.

398601216 is a gapful number since it is divisible by the number (36) 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 398601216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636207600).

398601216 is an abundant number, since it is smaller than the sum of its proper divisors (873813984).

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

398601216 is a wasteful number, since it uses less digits than its factorization.

398601216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 398601216 is about 19964.9997746056. Note that the first 3 decimals coincide. The cubic root of 398601216 is about 735.9464359254.

The spelling of 398601216 in words is "three hundred ninety-eight million, six hundred one thousand, two hundred sixteen".