394045440 has 192 divisors, whose sum is σ = 1283143680. Its totient is φ = 103219200.

The previous prime is 394045439. The next prime is 394045447. The reversal of 394045440 is 44540493.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (394045447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3102657 + ... + 3102783.

It is an arithmetic number, because the mean of its divisors is an integer number (6683040).

Almost surely, 2^394045440 is an apocalyptic number.

394045440 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 394045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641571840).

394045440 is an abundant number, since it is smaller than the sum of its proper divisors (889098240).

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

394045440 is a wasteful number, since it uses less digits than its factorization.

394045440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 394045440 is about 19850.5778253430. The cubic root of 394045440 is about 733.1318748724.

It can be divided in two parts, 39404 and 5440, that added together give a palindrome (44844).

The spelling of 394045440 in words is "three hundred ninety-four million, forty-five thousand, four hundred forty".