393042478761 has 45 divisors (see below), whose sum is σ = 602161657383. Its totient is φ = 255486921120.

The previous prime is 393042478739. The next prime is 393042478771. The reversal of 393042478761 is 167874240393.

The square root of 393042478761 is 626931.

It is a perfect power (a square), and thus also a powerful number.

393042478761 is a `hidden beast` number, since 3 + 93 + 0 + 424 + 78 + 7 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18938989161 + 374103489600 = 137619^2 + 611640^2 .

It is not a de Polignac number, because 393042478761 - 2²³ = 393034090153 is a prime.

It is a super-2 number, since 2×393042478761² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 393042478698 and 393042478707.

It is not an unprimeable number, because it can be changed into a prime (393042478771) 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 44 ways as a sum of consecutive naturals, for example, 231336690 + ... + 231338388.

Almost surely, 2^393042478761 is an apocalyptic number.

393042478761 is the 626931-st square number.

393042478761 is the 313466-th centered octagonal number.

It is an amenable number.

393042478761 is a deficient number, since it is larger than the sum of its proper divisors (209119178622).

393042478761 is an frugal number, since it uses more digits than its factorization.

393042478761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3492 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 393042478761 in words is "three hundred ninety-three billion, forty-two million, four hundred seventy-eight thousand, seven hundred sixty-one".