393345152 has 24 divisors (see below), whose sum is σ = 784064565. Its totient is φ = 196560384.

The previous prime is 393345109. The next prime is 393345179. The reversal of 393345152 is 251543393.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 261921856 + 131423296 = 16184^2 + 11464^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=14024.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 223508 + ... + 225260.

Almost surely, 2^393345152 is an apocalyptic number.

393345152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

393345152 is a deficient number, since it is larger than the sum of its proper divisors (390719413).

393345152 is an frugal number, since it uses more digits than its factorization.

393345152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3520 (or 1755 counting only the distinct ones).

The product of its digits is 48600, while the sum is 35.

The square root of 393345152 is about 19832.9309987203. The cubic root of 393345152 is about 732.6973159451.

The spelling of 393345152 in words is "three hundred ninety-three million, three hundred forty-five thousand, one hundred fifty-two".