395113600 has 192 divisors, whose sum is σ = 1153497600. Its totient is φ = 130867200.

The previous prime is 395113583. The next prime is 395113601. The reversal of 395113600 is 6311593.

It is a super-2 number, since 2×395113600² = 312229513809920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (395113601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 694116 + ... + 694684.

It is an arithmetic number, because the mean of its divisors is an integer number (6007800).

Almost surely, 2^395113600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 395113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576748800).

395113600 is an abundant number, since it is smaller than the sum of its proper divisors (758384000).

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

395113600 is a wasteful number, since it uses less digits than its factorization.

395113600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 28.

The square root of 395113600 is about 19877.4646270595. The cubic root of 395113600 is about 733.7937237599.

The spelling of 395113600 in words is "three hundred ninety-five million, one hundred thirteen thousand, six hundred".