392609672 has 64 divisors (see below), whose sum is σ = 909444480. Its totient is φ = 154732032.

The previous prime is 392609669. The next prime is 392609677. The reversal of 392609672 is 276906293.

It is a super-3 number, since 3×392609672³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (392609677) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 227003 + ... + 228725.

It is an arithmetic number, because the mean of its divisors is an integer number (14210070).

Almost surely, 2^392609672 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 392609672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454722240).

392609672 is an abundant number, since it is smaller than the sum of its proper divisors (516834808).

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

392609672 is a wasteful number, since it uses less digits than its factorization.

392609672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2062 (or 2058 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 44.

The square root of 392609672 is about 19814.3804344219. The cubic root of 392609672 is about 732.2403631997.

The spelling of 392609672 in words is "three hundred ninety-two million, six hundred nine thousand, six hundred seventy-two".