396111888 has 120 divisors (see below), whose sum is σ = 1164508800. Its totient is φ = 125452800.

The previous prime is 396111887. The next prime is 396111889. The reversal of 396111888 is 888111693.

It is an interprime number because it is at equal distance from previous prime (396111887) and next prime (396111889).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 (396111887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 658788 + ... + 659388.

It is an arithmetic number, because the mean of its divisors is an integer number (9704240).

Almost surely, 2^396111888 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 396111888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582254400).

396111888 is an abundant number, since it is smaller than the sum of its proper divisors (768396912).

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

396111888 is a wasteful number, since it uses less digits than its factorization.

396111888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 828 counting only the distinct ones).

The product of its digits is 82944, while the sum is 45.

The square root of 396111888 is about 19902.5598353579. The cubic root of 396111888 is about 734.4112013613.

The spelling of 396111888 in words is "three hundred ninety-six million, one hundred eleven thousand, eight hundred eighty-eight".