396486144 has 320 divisors, whose sum is σ = 1296345600. Its totient is φ = 119218176.

The previous prime is 396486143. The next prime is 396486161. The reversal of 396486144 is 441684693.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 396486144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396486143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9220587 + ... + 9220629.

It is an arithmetic number, because the mean of its divisors is an integer number (4051080).

Almost surely, 2^396486144 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 396486144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648172800).

396486144 is an abundant number, since it is smaller than the sum of its proper divisors (899859456).

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

396486144 is a wasteful number, since it uses less digits than its factorization.

396486144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 100 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 396486144 is about 19911.9598231816. The cubic root of 396486144 is about 734.6424249863.

The spelling of 396486144 in words is "three hundred ninety-six million, four hundred eighty-six thousand, one hundred forty-four".