396443376 has 160 divisors (see below), whose sum is σ = 1342771200. Its totient is φ = 109589760.

The previous prime is 396443329. The next prime is 396443381. The reversal of 396443376 is 673344693.

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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91630 + ... + 95858.

It is an arithmetic number, because the mean of its divisors is an integer number (8392320).

Almost surely, 2^396443376 is an apocalyptic number.

396443376 is a gapful number since it is divisible by the number (36) 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 396443376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671385600).

396443376 is an abundant number, since it is smaller than the sum of its proper divisors (946327824).

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

396443376 is a wasteful number, since it uses less digits than its factorization.

396443376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4284 (or 4272 counting only the distinct ones).

The product of its digits is 979776, while the sum is 45.

The square root of 396443376 is about 19910.8858667815. The cubic root of 396443376 is about 734.6160093368.

The spelling of 396443376 in words is "three hundred ninety-six million, four hundred forty-three thousand, three hundred seventy-six".