391704768 has 448 divisors, whose sum is σ = 1474744320. Its totient is φ = 99201024.

The previous prime is 391704767. The next prime is 391704877. The reversal of 391704768 is 867407193.

391704768 is a `hidden beast` number, since 3 + 9 + 170 + 476 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is not an unprimeable number, because it can be changed into a prime (391704767) 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 63 ways as a sum of consecutive naturals, for example, 7390630 + ... + 7390682.

It is an arithmetic number, because the mean of its divisors is an integer number (3291840).

Almost surely, 2^391704768 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 391704768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737372160).

391704768 is an abundant number, since it is smaller than the sum of its proper divisors (1083039552).

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

391704768 is a wasteful number, since it uses less digits than its factorization.

391704768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 391704768 is about 19791.5327349854. The cubic root of 391704768 is about 731.6773638626.

The spelling of 391704768 in words is "three hundred ninety-one million, seven hundred four thousand, seven hundred sixty-eight".