396509847120 has 120 divisors (see below), whose sum is σ = 1331816265000. Its totient is φ = 105719758848.

The previous prime is 396509847109. The next prime is 396509847143. The reversal of 396509847120 is 21748905693.

396509847120 is a `hidden beast` number, since 3 + 9 + 6 + 509 + 8 + 4 + 7 + 120 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 78428736 + 396431418384 = 8856^2 + 629628^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×396509847120³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5094256 + ... + 5171504.

It is an arithmetic number, because the mean of its divisors is an integer number (11098468875).

It is a 1-persistent number, because it is pandigital, but 2⋅396509847120 = 793019694240 is not.

Almost surely, 2^396509847120 is an apocalyptic number.

396509847120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

396509847120 is an abundant number, since it is smaller than the sum of its proper divisors (935306417880).

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

396509847120 is a wasteful number, since it uses less digits than its factorization.

396509847120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84397 (or 84388 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 396509847120 in words is "three hundred ninety-six billion, five hundred nine million, eight hundred forty-seven thousand, one hundred twenty".