396885888 has 288 divisors, whose sum is σ = 1360476000. Its totient is φ = 110702592.

The previous prime is 396885887. The next prime is 396885899. The reversal of 396885888 is 888588693.

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

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (26542080) is a multiple of the sum of its prime divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396885887) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4459348 + ... + 4459436.

It is an arithmetic number, because the mean of its divisors is an integer number (4723875).

Almost surely, 2^396885888 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 396885888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680238000).

396885888 is an abundant number, since it is smaller than the sum of its proper divisors (963590112).

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

396885888 is a wasteful number, since it uses less digits than its factorization.

396885888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 180 counting only the distinct ones).

The product of its digits is 26542080, while the sum is 63.

The square root of 396885888 is about 19921.9950808146. The cubic root of 396885888 is about 734.8892350092.

The spelling of 396885888 in words is "three hundred ninety-six million, eight hundred eighty-five thousand, eight hundred eighty-eight".