393438799009 has 9 divisors (see below), whose sum is σ = 415248540723. Its totient is φ = 372720203352.

The previous prime is 393438799001. The next prime is 393438799037. The reversal of 393438799009 is 900997834393.

The square root of 393438799009 is 627247.

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

It can be written as a sum of positive squares in only one way, i.e., 68798667025 + 324640131984 = 262295^2 + 569772^2 .

It is not a de Polignac number, because 393438799009 - 2³ = 393438799001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (393438799001) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11901187 + ... + 11934199.

It is an arithmetic number, because the mean of its divisors is an integer number (46138726747).

Almost surely, 2^393438799009 is an apocalyptic number.

393438799009 is the 627247-th square number.

393438799009 is the 313624-th centered octagonal number.

It is an amenable number.

393438799009 is a deficient number, since it is larger than the sum of its proper divisors (21809741714).

393438799009 is an frugal number, since it uses more digits than its factorization.

393438799009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66064 (or 33032 counting only the distinct ones).

The product of its (nonzero) digits is 39680928, while the sum is 64.

Multiplying 393438799009 by its sum of digits (64), we get a square (25180083136576 = 5017976²).

The spelling of 393438799009 in words is "three hundred ninety-three billion, four hundred thirty-eight million, seven hundred ninety-nine thousand, nine".