392528563441 has 81 divisors (see below), whose sum is σ = 489305567457. Its totient is φ = 313962203520.

The previous prime is 392528563421. The next prime is 392528563459. The reversal of 392528563441 is 144365825293.

The square root of 392528563441 is 626521.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 4643741025 + 387884822416 = 68145^2 + 622804^2 .

It is not a de Polignac number, because 392528563441 - 2¹³ = 392528555249 is a prime.

Its product of digits (6220800) is a multiple of the sum of its prime divisors (144).

It is not an unprimeable number, because it can be changed into a prime (392528563421) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 6653026470 + ... + 6653026528.

Almost surely, 2^392528563441 is an apocalyptic number.

392528563441 is the 626521-st square number.

392528563441 is the 313261-st centered octagonal number.

It is an amenable number.

392528563441 is a deficient number, since it is larger than the sum of its proper divisors (96777004016).

392528563441 is an frugal number, since it uses more digits than its factorization.

392528563441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 144 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 52.

The spelling of 392528563441 in words is "three hundred ninety-two billion, five hundred twenty-eight million, five hundred sixty-three thousand, four hundred forty-one".