395216640 has 648 divisors, whose sum is σ = 1750563360. Its totient is φ = 80510976.

The previous prime is 395216639. The next prime is 395216711. The reversal of 395216640 is 46612593.

It is a happy number.

395216640 is a `hidden beast` number, since 3 + 9 + 5 + 2 + 1 + 6 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 395216595 and 395216604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13628146 + ... + 13628174.

Almost surely, 2^395216640 is an apocalyptic number.

395216640 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 395216640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875281680).

395216640 is an abundant number, since it is smaller than the sum of its proper divisors (1355346720).

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

395216640 is a wasteful number, since it uses less digits than its factorization.

395216640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 395216640 is about 19880.0563379483. The cubic root of 395216640 is about 733.8575058667.

The spelling of 395216640 in words is "three hundred ninety-five million, two hundred sixteen thousand, six hundred forty".