396443264 has 96 divisors (see below), whose sum is σ = 959460960. Its totient is φ = 159805440.

The previous prime is 396443263. The next prime is 396443269. The reversal of 396443264 is 462344693.

It is not an unprimeable number, because it can be changed into a prime (396443263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 258179 + ... + 259709.

It is an arithmetic number, because the mean of its divisors is an integer number (9994385).

Almost surely, 2^396443264 is an apocalyptic number.

396443264 is a gapful number since it is divisible by the number (34) 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 396443264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479730480).

396443264 is an abundant number, since it is smaller than the sum of its proper divisors (563017696).

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

396443264 is a wasteful number, since it uses less digits than its factorization.

396443264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586 (or 1557 counting only the distinct ones).

The product of its digits is 373248, while the sum is 41.

The square root of 396443264 is about 19910.8830542495. The cubic root of 396443264 is about 734.6159401575.

The spelling of 396443264 in words is "three hundred ninety-six million, four hundred forty-three thousand, two hundred sixty-four".