394377984 has 720 divisors, whose sum is σ = 1662017280. Its totient is φ = 89579520.

The previous prime is 394377979. The next prime is 394378009. The reversal of 394377984 is 489773493.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 394377984.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20756727 + ... + 20756745.

Almost surely, 2^394377984 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 394377984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831008640).

394377984 is an abundant number, since it is smaller than the sum of its proper divisors (1267639296).

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

394377984 is a wasteful number, since it uses less digits than its factorization.

394377984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 55 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The square root of 394377984 is about 19858.9522382224. The cubic root of 394377984 is about 733.3380524949.

The spelling of 394377984 in words is "three hundred ninety-four million, three hundred seventy-seven thousand, nine hundred eighty-four".