396331258176 has 1008 divisors, whose sum is σ = 1490775336960. Its totient is φ = 103699491840.

The previous prime is 396331258087. The next prime is 396331258243. The reversal of 396331258176 is 671852133693.

396331258176 is a `hidden beast` number, since 3 + 96 + 331 + 2 + 58 + 176 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

Its product of digits (4898880) is a multiple of the sum of its prime divisors (945).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 448845831 + ... + 448846713.

Almost surely, 2^396331258176 is an apocalyptic number.

396331258176 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 396331258176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745387668480).

396331258176 is an abundant number, since it is smaller than the sum of its proper divisors (1094444078784).

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

396331258176 is a wasteful number, since it uses less digits than its factorization.

396331258176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 945 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The spelling of 396331258176 in words is "three hundred ninety-six billion, three hundred thirty-one million, two hundred fifty-eight thousand, one hundred seventy-six".