392112640 has 80 divisors (see below), whose sum is σ = 951267240. Its totient is φ = 154992640.

The previous prime is 392112619. The next prime is 392112641. The reversal of 392112640 is 46211293.

It can be written as a sum of positive squares in 4 ways, for example, as 300259584 + 91853056 = 17328^2 + 9584^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 392112599 and 392112608.

It is not an unprimeable number, because it can be changed into a prime (392112641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 226980 + ... + 228700.

Almost surely, 2^392112640 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 392112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475633620).

392112640 is an abundant number, since it is smaller than the sum of its proper divisors (559154600).

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

392112640 is an equidigital number, since it uses as much as digits as its factorization.

392112640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1833 (or 1817 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 392112640 is about 19801.8342584721. The cubic root of 392112640 is about 731.9312346443.

It can be divided in two parts, 3921 and 12640, that added together give a palindrome (16561).

The spelling of 392112640 in words is "three hundred ninety-two million, one hundred twelve thousand, six hundred forty".