396404316 has 216 divisors, whose sum is σ = 1314593280. Its totient is φ = 99489600.

The previous prime is 396404293. The next prime is 396404329. The reversal of 396404316 is 613404693.

396404316 is a `hidden beast` number, since 3 + 9 + 640 + 4 + 3 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 601195 + ... + 601853.

It is an arithmetic number, because the mean of its divisors is an integer number (6086080).

Almost surely, 2^396404316 is an apocalyptic number.

396404316 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 396404316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657296640).

396404316 is an abundant number, since it is smaller than the sum of its proper divisors (918188964).

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

396404316 is a wasteful number, since it uses less digits than its factorization.

396404316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 396404316 is about 19909.9049721489. The cubic root of 396404316 is about 734.5918822731.

It can be divided in two parts, 39640 and 4316, that added together give a triangular number (43956 = T₂₉₆).

The spelling of 396404316 in words is "three hundred ninety-six million, four hundred four thousand, three hundred sixteen".