396355680 has 480 divisors, whose sum is σ = 1699258176. Its totient is φ = 84934656.

The previous prime is 396355679. The next prime is 396355691. The reversal of 396355680 is 86553693.

396355680 is a `hidden beast` number, since 3 + 9 + 635 + 5 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1542112 + ... + 1542368.

Almost surely, 2^396355680 is an apocalyptic number.

396355680 is a gapful number since it is divisible by the number (30) 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 396355680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849629088).

396355680 is an abundant number, since it is smaller than the sum of its proper divisors (1302902496).

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

396355680 is a wasteful number, since it uses less digits than its factorization.

396355680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 396355680 is about 19908.6835325694. The cubic root of 396355680 is about 734.5618379719.

The spelling of 396355680 in words is "three hundred ninety-six million, three hundred fifty-five thousand, six hundred eighty".