396288768 has 144 divisors (see below), whose sum is σ = 1130250240. Its totient is φ = 122830848.

The previous prime is 396288733. The next prime is 396288769. The reversal of 396288768 is 867882693.

It is not an unprimeable number, because it can be changed into a prime (396288769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1657993 + ... + 1658231.

It is an arithmetic number, because the mean of its divisors is an integer number (7848960).

Almost surely, 2^396288768 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 396288768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565125120).

396288768 is an abundant number, since it is smaller than the sum of its proper divisors (733961472).

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

396288768 is a wasteful number, since it uses less digits than its factorization.

396288768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 388 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 57.

The square root of 396288768 is about 19907.0029888982. The cubic root of 396288768 is about 734.5204998756.

The spelling of 396288768 in words is "three hundred ninety-six million, two hundred eighty-eight thousand, seven hundred sixty-eight".