393390466560 has 1920 divisors, whose sum is σ = 1837463823360. Its totient is φ = 77842612224.

The previous prime is 393390466523. The next prime is 393390466603. The reversal of 393390466560 is 65664093393.

It is a happy number.

393390466560 is a `hidden beast` number, since 3 + 9 + 3 + 39 + 0 + 46 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 = 393390466497 and 393390466506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1390072179 + ... + 1390072461.

It is an arithmetic number, because the mean of its divisors is an integer number (957012408).

Almost surely, 2^393390466560 is an apocalyptic number.

393390466560 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 393390466560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918731911680).

393390466560 is an abundant number, since it is smaller than the sum of its proper divisors (1444073356800).

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

393390466560 is a wasteful number, since it uses less digits than its factorization.

393390466560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 9447840, while the sum is 54.

The spelling of 393390466560 in words is "three hundred ninety-three billion, three hundred ninety million, four hundred sixty-six thousand, five hundred sixty".