395865600 has 360 divisors, whose sum is σ = 1439262792. Its totient is φ = 95846400.

The previous prime is 395865599. The next prime is 395865601. The reversal of 395865600 is 6568593.

It is an interprime number because it is at equal distance from previous prime (395865599) and next prime (395865601).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395865601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6489570 + ... + 6489630.

Almost surely, 2^395865600 is an apocalyptic number.

395865600 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 395865600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719631396).

395865600 is an abundant number, since it is smaller than the sum of its proper divisors (1043397192).

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

395865600 is a wasteful number, since it uses less digits than its factorization.

395865600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 395865600 is about 19896.3715284974. The cubic root of 395865600 is about 734.2589597246.

The spelling of 395865600 in words is "three hundred ninety-five million, eight hundred sixty-five thousand, six hundred".