391420512 has 384 divisors, whose sum is σ = 1428295680. Its totient is φ = 103016448.

The previous prime is 391420489. The next prime is 391420517. The reversal of 391420512 is 215024193.

391420512 is a `hidden beast` number, since 3 + 9 + 142 + 0 + 512 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (391420517) 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, 8328073 + ... + 8328119.

It is an arithmetic number, because the mean of its divisors is an integer number (3719520).

Almost surely, 2^391420512 is an apocalyptic number.

391420512 is a gapful number since it is divisible by the number (32) 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 391420512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714147840).

391420512 is an abundant number, since it is smaller than the sum of its proper divisors (1036875168).

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

391420512 is an equidigital number, since it uses as much as digits as its factorization.

391420512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 391420512 is about 19784.3501788661. The cubic root of 391420512 is about 731.5003308618.

It can be divided in two parts, 391 and 420512, that added together give a triangular number (420903 = T₉₁₇).

The spelling of 391420512 in words is "three hundred ninety-one million, four hundred twenty thousand, five hundred twelve".