394560320 has 224 divisors, whose sum is σ = 1193840640. Its totient is φ = 120637440.

The previous prime is 394560301. The next prime is 394560329. The reversal of 394560320 is 23065493.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×394560320² = 311355692237004800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (394560329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1650761 + ... + 1650999.

Almost surely, 2^394560320 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 394560320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596920320).

394560320 is an abundant number, since it is smaller than the sum of its proper divisors (799280320).

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

394560320 is a wasteful number, since it uses less digits than its factorization.

394560320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 32.

The square root of 394560320 is about 19863.5424836558. The cubic root of 394560320 is about 733.4510518093.

The spelling of 394560320 in words is "three hundred ninety-four million, five hundred sixty thousand, three hundred twenty".