395085600 has 720 divisors, whose sum is σ = 1799759808. Its totient is φ = 82114560.

The previous prime is 395085583. The next prime is 395085637. The reversal of 395085600 is 6580593.

395085600 is a `hidden beast` number, since 3 + 95 + 0 + 8 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5896767 + ... + 5896833.

Almost surely, 2^395085600 is an apocalyptic number.

395085600 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 395085600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899879904).

395085600 is an abundant number, since it is smaller than the sum of its proper divisors (1404674208).

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

395085600 is a wasteful number, since it uses less digits than its factorization.

395085600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 395085600 is about 19876.7602994049. The cubic root of 395085600 is about 733.7763897496.

The spelling of 395085600 in words is "three hundred ninety-five million, eighty-five thousand, six hundred".