396605664 has 288 divisors, whose sum is σ = 1429122240. Its totient is φ = 101523456.

The previous prime is 396605647. The next prime is 396605681. The reversal of 396605664 is 466506693.

396605664 is a `hidden beast` number, since 39 + 6 + 605 + 6 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (396605647) and next prime (396605681).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 969492 + ... + 969900.

It is an arithmetic number, because the mean of its divisors is an integer number (4962230).

Almost surely, 2^396605664 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 396605664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714561120).

396605664 is an abundant number, since it is smaller than the sum of its proper divisors (1032516576).

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

396605664 is a wasteful number, since it uses less digits than its factorization.

396605664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The square root of 396605664 is about 19914.9608083973. The cubic root of 396605664 is about 734.7162364276.

The spelling of 396605664 in words is "three hundred ninety-six million, six hundred five thousand, six hundred sixty-four".