396820456032 has 576 divisors, whose sum is σ = 1445491256832. Its totient is φ = 92051251200.

The previous prime is 396820456031. The next prime is 396820456049. The reversal of 396820456032 is 230654028693.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396820456031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 92346108 + ... + 92350404.

It is an arithmetic number, because the mean of its divisors is an integer number (2509533432).

Almost surely, 2^396820456032 is an apocalyptic number.

396820456032 is a gapful number since it is divisible by the number (32) 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 396820456032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722745628416).

396820456032 is an abundant number, since it is smaller than the sum of its proper divisors (1048670800800).

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

396820456032 is a wasteful number, since it uses less digits than its factorization.

396820456032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4403 (or 4364 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 396820456032 in words is "three hundred ninety-six billion, eight hundred twenty million, four hundred fifty-six thousand, thirty-two".