391944960 has 288 divisors, whose sum is σ = 1518773760. Its totient is φ = 94924800.

The previous prime is 391944913. The next prime is 391944967. The reversal of 391944960 is 69449193.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (391944967) 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 31 ways as a sum of consecutive naturals, for example, 379645 + ... + 380675.

It is an arithmetic number, because the mean of its divisors is an integer number (5273520).

Almost surely, 2^391944960 is an apocalyptic number.

391944960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 391944960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759386880).

391944960 is an abundant number, since it is smaller than the sum of its proper divisors (1126828800).

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

391944960 is a wasteful number, since it uses less digits than its factorization.

391944960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 391944960 is about 19797.5998545278. The cubic root of 391944960 is about 731.8268873084.

The spelling of 391944960 in words is "three hundred ninety-one million, nine hundred forty-four thousand, nine hundred sixty".