393928704 has 224 divisors, whose sum is σ = 1266078240. Its totient is φ = 120324096.

The previous prime is 393928699. The next prime is 393928741. The reversal of 393928704 is 407829393.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 393928704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2875324 + ... + 2875460.

It is an arithmetic number, because the mean of its divisors is an integer number (5652135).

Almost surely, 2^393928704 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 393928704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633039120).

393928704 is an abundant number, since it is smaller than the sum of its proper divisors (872149536).

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

393928704 is a wasteful number, since it uses less digits than its factorization.

393928704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 393928704 is about 19847.6372397321. The cubic root of 393928704 is about 733.0594709256.

The spelling of 393928704 in words is "three hundred ninety-three million, nine hundred twenty-eight thousand, seven hundred four".