396581474952000 has 4480 divisors, whose sum is σ = 1837840012968960. Its totient is φ = 83244456345600.

The previous prime is 396581474951989. The next prime is 396581474952049. The reversal of 396581474952000 is 259474185693.

396581474952000 is a `hidden beast` number, since 3 + 9 + 6 + 5 + 81 + 47 + 495 + 20 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 62581892832 + ... + 62581899168.

It is an arithmetic number, because the mean of its divisors is an integer number (410232145752).

It is a 1-persistent number, because it is pandigital, but 2⋅396581474952000 = 793162949904000 is not.

Almost surely, 2^{396581474952000} is an apocalyptic number.

396581474952000 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 396581474952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918920006484480).

396581474952000 is an abundant number, since it is smaller than the sum of its proper divisors (1441258538016960).

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

396581474952000 is a wasteful number, since it uses less digits than its factorization.

396581474952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6448 (or 6419 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 396581474952000 in words is "three hundred ninety-six trillion, five hundred eighty-one billion, four hundred seventy-four million, nine hundred fifty-two thousand".