396508815360 has 1176 divisors, whose sum is σ = 1665745325856. Its totient is φ = 90296156160.

The previous prime is 396508815349. The next prime is 396508815377. The reversal of 396508815360 is 63518805693.

396508815360 is a `hidden beast` number, since 3 + 9 + 6 + 508 + 81 + 53 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1176).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 396508815297 and 396508815306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1463132025 + ... + 1463132295.

Almost surely, 2^396508815360 is an apocalyptic number.

396508815360 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 396508815360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832872662928).

396508815360 is an abundant number, since it is smaller than the sum of its proper divisors (1269236510496).

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

396508815360 is an frugal number, since it uses more digits than its factorization.

396508815360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 396508815360 in words is "three hundred ninety-six billion, five hundred eight million, eight hundred fifteen thousand, three hundred sixty".