392397005056 has 405 divisors, whose sum is σ = 991753960589. Its totient is φ = 154910171136.

The previous prime is 392397005029. The next prime is 392397005093. The reversal of 392397005056 is 650500793293.

It is a happy number.

The square root of 392397005056 is 626416.

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

It can be written as a sum of positive squares in only one way, i.e., 305499398400 + 86897606656 = 552720^2 + 294784^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 8348872425 + ... + 8348872471.

Almost surely, 2^392397005056 is an apocalyptic number.

392397005056 is the 626416-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 392397005056

392397005056 is an abundant number, since it is smaller than the sum of its proper divisors (599356955533).

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

392397005056 is an frugal number, since it uses more digits than its factorization.

392397005056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 1530900, while the sum is 49.

Multiplying 392397005056 by its sum of digits (49), we get a square (19227453247744 = 4384912²).

392397005056 divided by its sum of digits (49) gives a square (8008102144 = 89488²).

The spelling of 392397005056 in words is "three hundred ninety-two billion, three hundred ninety-seven million, five thousand, fifty-six".