394488144 has 140 divisors (see below), whose sum is σ = 1184007552. Its totient is φ = 127137600.

The previous prime is 394488121. The next prime is 394488163. The reversal of 394488144 is 441884493.

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 394488144.

It is a congruent number.

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 361039 + ... + 362129.

Almost surely, 2^394488144 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 394488144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592003776).

394488144 is an abundant number, since it is smaller than the sum of its proper divisors (789519408).

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

394488144 is a wasteful number, since it uses less digits than its factorization.

394488144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1127 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 394488144 is about 19861.7256047907. The cubic root of 394488144 is about 733.4063262513.

The spelling of 394488144 in words is "three hundred ninety-four million, four hundred eighty-eight thousand, one hundred forty-four".