395792640 has 432 divisors, whose sum is σ = 1515241728. Its totient is φ = 94961664.

The previous prime is 395792611. The next prime is 395792653. The reversal of 395792640 is 46297593.

It is a happy number.

395792640 is a `hidden beast` number, since 39 + 579 + 2 + 6 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8421097 + ... + 8421143.

It is an arithmetic number, because the mean of its divisors is an integer number (3507504).

Almost surely, 2^395792640 is an apocalyptic number.

395792640 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 395792640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757620864).

395792640 is an abundant number, since it is smaller than the sum of its proper divisors (1119449088).

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

395792640 is a wasteful number, since it uses less digits than its factorization.

395792640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 395792640 is about 19894.5379438679. The cubic root of 395792640 is about 734.2138477597.

The spelling of 395792640 in words is "three hundred ninety-five million, seven hundred ninety-two thousand, six hundred forty".