394967664 has 400 divisors, whose sum is σ = 1497279168. Its totient is φ = 97542144.

The previous prime is 394967663. The next prime is 394967693. The reversal of 394967664 is 466769493.

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 394967664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (394967663) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2004814 + ... + 2005010.

Almost surely, 2^394967664 is an apocalyptic number.

394967664 is a gapful number since it is divisible by the number (34) 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 394967664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748639584).

394967664 is an abundant number, since it is smaller than the sum of its proper divisors (1102311504).

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

394967664 is a wasteful number, since it uses less digits than its factorization.

394967664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 239 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 54.

The square root of 394967664 is about 19873.7933973361. The cubic root of 394967664 is about 733.7033699074.

The spelling of 394967664 in words is "three hundred ninety-four million, nine hundred sixty-seven thousand, six hundred sixty-four".