394209144 has 192 divisors, whose sum is σ = 1315491840. Its totient is φ = 104163840.

The previous prime is 394209139. The next prime is 394209157. The reversal of 394209144 is 441902493.

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

It is a junction number, because it is equal to n+sod(n) for n = 394209099 and 394209108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 358804 + ... + 359900.

It is an arithmetic number, because the mean of its divisors is an integer number (6851520).

Almost surely, 2^394209144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 394209144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657745920).

394209144 is an abundant number, since it is smaller than the sum of its proper divisors (921282696).

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

394209144 is a wasteful number, since it uses less digits than its factorization.

394209144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 394209144 is about 19854.7008035881. The cubic root of 394209144 is about 733.2333860113.

The spelling of 394209144 in words is "three hundred ninety-four million, two hundred nine thousand, one hundred forty-four".