396528540408 has 576 divisors, whose sum is σ = 1489703080320. Its totient is φ = 93644812800.

The previous prime is 396528540407. The next prime is 396528540503. The reversal of 396528540408 is 804045825693.

396528540408 is a `hidden beast` number, since 3 + 9 + 6 + 52 + 8 + 540 + 40 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396528540407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 33795903 + ... + 33807633.

It is an arithmetic number, because the mean of its divisors is an integer number (2586290070).

Almost surely, 2^396528540408 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 396528540408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744851540160).

396528540408 is an abundant number, since it is smaller than the sum of its proper divisors (1093174539912).

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

396528540408 is a wasteful number, since it uses less digits than its factorization.

396528540408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11848 (or 11834 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 396528540408 in words is "three hundred ninety-six billion, five hundred twenty-eight million, five hundred forty thousand, four hundred eight".