398886912 has 288 divisors, whose sum is σ = 1303192800. Its totient is φ = 116785152.

The previous prime is 398886881. The next prime is 398886923. The reversal of 398886912 is 219688893.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×398886912² = 318221537129791488, which contains 22 as substring.

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

Its product of digits (1492992) is a multiple of the sum of its prime divisors (108).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5953503 + ... + 5953569.

It is an arithmetic number, because the mean of its divisors is an integer number (4524975).

Almost surely, 2^398886912 is an apocalyptic number.

398886912 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 398886912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651596400).

398886912 is an abundant number, since it is smaller than the sum of its proper divisors (904305888).

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

398886912 is a wasteful number, since it uses less digits than its factorization.

398886912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 108 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 54.

The square root of 398886912 is about 19972.1534141915. The cubic root of 398886912 is about 736.1222229283.

The spelling of 398886912 in words is "three hundred ninety-eight million, eight hundred eighty-six thousand, nine hundred twelve".