391916448 has 384 divisors, whose sum is σ = 1468938240. Its totient is φ = 98703360.

The previous prime is 391916443. The next prime is 391916501. The reversal of 391916448 is 844619193.

It is a super-3 number, since 3×391916448³ (a number of 27 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (391916443) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2860636 + ... + 2860772.

It is an arithmetic number, because the mean of its divisors is an integer number (3825360).

Almost surely, 2^391916448 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 391916448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734469120).

391916448 is an abundant number, since it is smaller than the sum of its proper divisors (1077021792).

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

391916448 is a wasteful number, since it uses less digits than its factorization.

391916448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 203 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 391916448 is about 19796.8797541431. The cubic root of 391916448 is about 731.8091413183.

The spelling of 391916448 in words is "three hundred ninety-one million, nine hundred sixteen thousand, four hundred forty-eight".