412328558592 has 448 divisors, whose sum is σ = 1269565777620. Its totient is φ = 133772083200.

The previous prime is 412328558569. The next prime is 412328558599. The reversal of 412328558592 is 295855823214.

412328558592 is a `hidden beast` number, since 4 + 1 + 2 + 32 + 8 + 558 + 59 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 265167323136 + 147161235456 = 514944^2 + 383616^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (412328558599) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 979402542 + ... + 979402962.

Almost surely, 2^412328558592 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 412328558592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634782888810).

412328558592 is an abundant number, since it is smaller than the sum of its proper divisors (857237219028).

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

412328558592 is an frugal number, since it uses more digits than its factorization.

412328558592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 467 counting only the distinct ones).

The product of its digits is 6912000, while the sum is 54.

The spelling of 412328558592 in words is "four hundred twelve billion, three hundred twenty-eight million, five hundred fifty-eight thousand, five hundred ninety-two".