394311120 has 160 divisors (see below), whose sum is σ = 1415147520. Its totient is φ = 88957440.

The previous prime is 394311083. The next prime is 394311121. The reversal of 394311120 is 21113493.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (394311121) 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 31 ways as a sum of consecutive naturals, for example, 131235 + ... + 134205.

It is an arithmetic number, because the mean of its divisors is an integer number (8844672).

Almost surely, 2^394311120 is an apocalyptic number.

394311120 is a gapful number since it is divisible by the number (30) 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 394311120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707573760).

394311120 is an abundant number, since it is smaller than the sum of its proper divisors (1020836400).

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

394311120 is a wasteful number, since it uses less digits than its factorization.

394311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3073 (or 3067 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 394311120 is about 19857.2686943598. The cubic root of 394311120 is about 733.2966060578.

The spelling of 394311120 in words is "three hundred ninety-four million, three hundred eleven thousand, one hundred twenty".