396031264000 has 144 divisors (see below), whose sum is σ = 1005182090640. Its totient is φ = 155422924800.

The previous prime is 396031263989. The next prime is 396031264001. The reversal of 396031264000 is 462130693.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 223600362496 + 172430901504 = 472864^2 + 415248^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396031264001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1579246 + ... + 1812754.

It is an arithmetic number, because the mean of its divisors is an integer number (6980431185).

Almost surely, 2^396031264000 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 396031264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502591045320).

396031264000 is an abundant number, since it is smaller than the sum of its proper divisors (609150826640).

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

396031264000 is an equidigital number, since it uses as much as digits as its factorization.

396031264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233593 (or 233569 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 34.

Adding to 396031264000 its reverse (462130693), we get a palindrome (396493394693).

The spelling of 396031264000 in words is "three hundred ninety-six billion, thirty-one million, two hundred sixty-four thousand".