393466844160 has 1584 divisors, whose sum is σ = 1644760340496. Its totient is φ = 89436192768.

The previous prime is 393466844159. The next prime is 393466844161. The reversal of 393466844160 is 61448664393.

It is a happy number.

393466844160 is a `hidden beast` number, since 3 + 9 + 3 + 466 + 84 + 41 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (393466844159) and next prime (393466844161).

It can be written as a sum of positive squares in 8 ways, for example, as 6718464 + 393460125696 = 2592^2 + 627264^2 .

It is a super-2 number, since 2×393466844160² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 393466844097 and 393466844106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393466844161) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 7423902694 + ... + 7423902746.

Almost surely, 2^393466844160 is an apocalyptic number.

393466844160 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 393466844160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822380170248).

393466844160 is an abundant number, since it is smaller than the sum of its proper divisors (1251293496336).

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

393466844160 is an equidigital number, since it uses as much as digits as its factorization.

393466844160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 393466844160 in words is "three hundred ninety-three billion, four hundred sixty-six million, eight hundred forty-four thousand, one hundred sixty".