394261680 has 80 divisors (see below), whose sum is σ = 1226421504. Its totient is φ = 104774400.

The previous prime is 394261657. The next prime is 394261687. The reversal of 394261680 is 86162493.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (394261687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71005 + ... + 76355.

Almost surely, 2^394261680 is an apocalyptic number.

394261680 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 394261680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613210752).

394261680 is an abundant number, since it is smaller than the sum of its proper divisors (832159824).

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

394261680 is a wasteful number, since it uses less digits than its factorization.

394261680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5674 (or 5668 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 394261680 is about 19856.0237711381. The cubic root of 394261680 is about 733.2659570789.

The spelling of 394261680 in words is "three hundred ninety-four million, two hundred sixty-one thousand, six hundred eighty".