393881280 has 224 divisors, whose sum is σ = 1384791744. Its totient is φ = 94224384.

The previous prime is 393881263. The next prime is 393881303. The reversal of 393881280 is 82188393.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 461334 + ... + 462186.

It is an arithmetic number, because the mean of its divisors is an integer number (6182106).

Almost surely, 2^393881280 is an apocalyptic number.

393881280 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 393881280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692395872).

393881280 is an abundant number, since it is smaller than the sum of its proper divisors (990910464).

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

393881280 is a wasteful number, since it uses less digits than its factorization.

393881280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 393881280 is about 19846.4425023731. The cubic root of 393881280 is about 733.0300527363.

The spelling of 393881280 in words is "three hundred ninety-three million, eight hundred eighty-one thousand, two hundred eighty".