393281136 has 80 divisors (see below), whose sum is σ = 1131237120. Its totient is φ = 130818240.

The previous prime is 393281131. The next prime is 393281153. The reversal of 393281136 is 631182393.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 393281136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393281131) 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 15 ways as a sum of consecutive naturals, for example, 380941 + ... + 381971.

It is an arithmetic number, because the mean of its divisors is an integer number (14140464).

Almost surely, 2^393281136 is an apocalyptic number.

393281136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 393281136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565618560).

393281136 is an abundant number, since it is smaller than the sum of its proper divisors (737955984).

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

393281136 is a wasteful number, since it uses less digits than its factorization.

393281136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1931 (or 1919 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 393281136 is about 19831.3170515727. The cubic root of 393281136 is about 732.6575655326.

The spelling of 393281136 in words is "three hundred ninety-three million, two hundred eighty-one thousand, one hundred thirty-six".