393880704 has 192 divisors, whose sum is σ = 1254469440. Its totient is φ = 107255808.

The previous prime is 393880679. The next prime is 393880717. The reversal of 393880704 is 407088393.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1421814 + ... + 1422090.

It is an arithmetic number, because the mean of its divisors is an integer number (6533695).

Almost surely, 2^393880704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 393880704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627234720).

393880704 is an abundant number, since it is smaller than the sum of its proper divisors (860588736).

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

393880704 is a wasteful number, since it uses less digits than its factorization.

393880704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 393880704 is about 19846.4279909509. The cubic root of 393880704 is about 733.0296954158.

The spelling of 393880704 in words is "three hundred ninety-three million, eight hundred eighty thousand, seven hundred four".