393860880 has 400 divisors, whose sum is σ = 1649239680. Its totient is φ = 85100544.

The previous prime is 393860869. The next prime is 393860881. The reversal of 393860880 is 88068393.

393860880 is a `hidden beast` number, since 3 + 9 + 38 + 608 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (393860881) 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, 861612 + ... + 862068.

Almost surely, 2^393860880 is an apocalyptic number.

393860880 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 393860880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824619840).

393860880 is an abundant number, since it is smaller than the sum of its proper divisors (1255378800).

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

393860880 is a wasteful number, since it uses less digits than its factorization.

393860880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 393860880 is about 19845.9285497051. The cubic root of 393860880 is about 733.0173974245.

The spelling of 393860880 in words is "three hundred ninety-three million, eight hundred sixty thousand, eight hundred eighty".