394437120 has 640 divisors, whose sum is σ = 1697034240. Its totient is φ = 75694080.

The previous prime is 394437119. The next prime is 394437137. The reversal of 394437120 is 21734493.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13601266 + ... + 13601294.

It is an arithmetic number, because the mean of its divisors is an integer number (2651616).

Almost surely, 2^394437120 is an apocalyptic number.

394437120 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 394437120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848517120).

394437120 is an abundant number, since it is smaller than the sum of its proper divisors (1302597120).

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

394437120 is a wasteful number, since it uses less digits than its factorization.

394437120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 394437120 is about 19860.4410827152. The cubic root of 394437120 is about 733.3747047367.

The spelling of 394437120 in words is "three hundred ninety-four million, four hundred thirty-seven thousand, one hundred twenty".