392976448 has 56 divisors (see below), whose sum is σ = 816742080. Its totient is φ = 187353600.

The previous prime is 392976427. The next prime is 392976473. The reversal of 392976448 is 844679293.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 392976395 and 392976404.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 152773 + ... + 155323.

It is an arithmetic number, because the mean of its divisors is an integer number (14584680).

Almost surely, 2^392976448 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 392976448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408371040).

392976448 is an abundant number, since it is smaller than the sum of its proper divisors (423765632).

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

392976448 is a wasteful number, since it uses less digits than its factorization.

392976448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2675 (or 2665 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 52.

The square root of 392976448 is about 19823.6335720775. The cubic root of 392976448 is about 732.4683119079.

The spelling of 392976448 in words is "three hundred ninety-two million, nine hundred seventy-six thousand, four hundred forty-eight".