393211008 has 96 divisors (see below), whose sum is σ = 1138622940. Its totient is φ = 130246656.

The previous prime is 393211001. The next prime is 393211009. The reversal of 393211008 is 800112393.

It can be written as a sum of positive squares in 2 ways, for example, as 390141504 + 3069504 = 19752^2 + 1752^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×393211008² = 309229793624752128, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (393211001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 198310 + ... + 200282.

Almost surely, 2^393211008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 393211008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569311470).

393211008 is an abundant number, since it is smaller than the sum of its proper divisors (745411932).

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

393211008 is a wasteful number, since it uses less digits than its factorization.

393211008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2166 (or 2151 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 393211008 is about 19829.5488602237. The cubic root of 393211008 is about 732.6140149533.

The spelling of 393211008 in words is "three hundred ninety-three million, two hundred eleven thousand, eight".