393956880 has 240 divisors, whose sum is σ = 1333039680. Its totient is φ = 96115712.

The previous prime is 393956873. The next prime is 393956881. The reversal of 393956880 is 88659393.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (393956881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3681787 + ... + 3681893.

It is an arithmetic number, because the mean of its divisors is an integer number (5554332).

Almost surely, 2^393956880 is an apocalyptic number.

393956880 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 393956880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666519840).

393956880 is an abundant number, since it is smaller than the sum of its proper divisors (939082800).

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

393956880 is a wasteful number, since it uses less digits than its factorization.

393956880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 51.

The square root of 393956880 is about 19848.3470344510. The cubic root of 393956880 is about 733.0769480232.

The spelling of 393956880 in words is "three hundred ninety-three million, nine hundred fifty-six thousand, eight hundred eighty".