393542160 has 80 divisors (see below), whose sum is σ = 1330896960. Its totient is φ = 95403520.

The previous prime is 393542153. The next prime is 393542161. The reversal of 393542160 is 61245393.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (393542161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71895 + ... + 77174.

It is an arithmetic number, because the mean of its divisors is an integer number (16636212).

Almost surely, 2^393542160 is an apocalyptic number.

393542160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

393542160 is an abundant number, since it is smaller than the sum of its proper divisors (937354800).

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

393542160 is a wasteful number, since it uses less digits than its factorization.

393542160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149096 (or 149090 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 393542160 is about 19837.8970659695. The cubic root of 393542160 is about 732.8196200165.

It can be divided in two parts, 39354 and 2160, that added together give a palindrome (41514).

The spelling of 393542160 in words is "three hundred ninety-three million, five hundred forty-two thousand, one hundred sixty".