393925680 has 400 divisors, whose sum is σ = 1477833984. Its totient is φ = 97044480.

The previous prime is 393925607. The next prime is 393925681. The reversal of 393925680 is 86529393.

393925680 is a `hidden beast` number, since 393 + 9 + 256 + 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 (393925681) 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, 7432534 + ... + 7432586.

Almost surely, 2^393925680 is an apocalyptic number.

393925680 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 393925680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738916992).

393925680 is an abundant number, since it is smaller than the sum of its proper divisors (1083908304).

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

393925680 is a wasteful number, since it uses less digits than its factorization.

393925680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 393925680 is about 19847.5610592334. The cubic root of 393925680 is about 733.0575951399.

The spelling of 393925680 in words is "three hundred ninety-three million, nine hundred twenty-five thousand, six hundred eighty".