394392960 has 384 divisors, whose sum is σ = 1537099200. Its totient is φ = 92454912.

The previous prime is 394392883. The next prime is 394392961. The reversal of 394392960 is 69293493.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (394392961) 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 47 ways as a sum of consecutive naturals, for example, 1722126 + ... + 1722354.

Almost surely, 2^394392960 is an apocalyptic number.

394392960 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 394392960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768549600).

394392960 is an abundant number, since it is smaller than the sum of its proper divisors (1142706240).

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

394392960 is a wasteful number, since it uses less digits than its factorization.

394392960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The square root of 394392960 is about 19859.3292938105. The cubic root of 394392960 is about 733.3473349025.

The spelling of 394392960 in words is "three hundred ninety-four million, three hundred ninety-two thousand, nine hundred sixty".