398166912 has 192 divisors, whose sum is σ = 1346632560. Its totient is φ = 111329280.

The previous prime is 398166887. The next prime is 398166919. The reversal of 398166912 is 219661893.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398166919) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163528 + ... + 165944.

Almost surely, 2^398166912 is an apocalyptic number.

398166912 is a gapful number since it is divisible by the number (32) 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 398166912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673316280).

398166912 is an abundant number, since it is smaller than the sum of its proper divisors (948465648).

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

398166912 is a wasteful number, since it uses less digits than its factorization.

398166912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2461 (or 2446 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 398166912 is about 19954.1201760438. The cubic root of 398166912 is about 735.6790503591.

The spelling of 398166912 in words is "three hundred ninety-eight million, one hundred sixty-six thousand, nine hundred twelve".