392884960 has 192 divisors, whose sum is σ = 1088204544. Its totient is φ = 132710400.

The previous prime is 392884939. The next prime is 392884967. The reversal of 392884960 is 69488293.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (392884967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1449625 + ... + 1449895.

It is an arithmetic number, because the mean of its divisors is an integer number (5667732).

Almost surely, 2^392884960 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 392884960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544102272).

392884960 is an abundant number, since it is smaller than the sum of its proper divisors (695319584).

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

392884960 is a wasteful number, since it uses less digits than its factorization.

392884960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 49.

The square root of 392884960 is about 19821.3258890519. The cubic root of 392884960 is about 732.4114660399.

It can be divided in two parts, 3928 and 84960, that added together give a palindrome (88888).

The spelling of 392884960 in words is "three hundred ninety-two million, eight hundred eighty-four thousand, nine hundred sixty".