395531640 has 256 divisors, whose sum is σ = 1523404800. Its totient is φ = 89413632.

The previous prime is 395531629. The next prime is 395531641. The reversal of 395531640 is 46135593.

395531640 is a `hidden beast` number, since 3 + 9 + 5 + 5 + 3 + 1 + 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 = 395531595 and 395531604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395531641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 854049 + ... + 854511.

It is an arithmetic number, because the mean of its divisors is an integer number (5950800).

Almost surely, 2^395531640 is an apocalyptic number.

395531640 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 395531640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761702400).

395531640 is an abundant number, since it is smaller than the sum of its proper divisors (1127873160).

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

395531640 is a wasteful number, since it uses less digits than its factorization.

395531640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 395531640 is about 19887.9772727143. The cubic root of 395531640 is about 734.0524232048.

The spelling of 395531640 in words is "three hundred ninety-five million, five hundred thirty-one thousand, six hundred forty".