394515744 has 96 divisors (see below), whose sum is σ = 1208825856. Its totient is φ = 110311680.

The previous prime is 394515743. The next prime is 394515763. The reversal of 394515744 is 447515493.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 394515696 and 394515705.

It is not an unprimeable number, because it can be changed into a prime (394515743) 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 15 ways as a sum of consecutive naturals, for example, 25339 + ... + 37829.

It is an arithmetic number, because the mean of its divisors is an integer number (12591936).

Almost surely, 2^394515744 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 394515744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604412928).

394515744 is an abundant number, since it is smaller than the sum of its proper divisors (814310112).

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

394515744 is a wasteful number, since it uses less digits than its factorization.

394515744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12558 (or 12550 counting only the distinct ones).

The product of its digits is 302400, while the sum is 42.

The square root of 394515744 is about 19862.4203963163. The cubic root of 394515744 is about 733.4234298854.

The spelling of 394515744 in words is "three hundred ninety-four million, five hundred fifteen thousand, seven hundred forty-four".