393890112 has 336 divisors, whose sum is σ = 1437875712. Its totient is φ = 100131840.

The previous prime is 393890087. The next prime is 393890113. The reversal of 393890112 is 211098393.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×393890112³ (a number of 27 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393890113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3681163 + ... + 3681269.

It is an arithmetic number, because the mean of its divisors is an integer number (4279392).

Almost surely, 2^393890112 is an apocalyptic number.

393890112 is a gapful number since it is divisible by the number (32) 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 393890112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718937856).

393890112 is an abundant number, since it is smaller than the sum of its proper divisors (1043985600).

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

393890112 is a wasteful number, since it uses less digits than its factorization.

393890112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 393890112 is about 19846.6650095173. The cubic root of 393890112 is about 733.0355316063.

The spelling of 393890112 in words is "three hundred ninety-three million, eight hundred ninety thousand, one hundred twelve".