395612100 has 405 divisors, whose sum is σ = 1475144517. Its totient is φ = 91653120.

The previous prime is 395612089. The next prime is 395612137. The reversal of 395612100 is 1216593.

The square root of 395612100 is 19890.

It is a perfect power (a square), and thus also a powerful number.

395612100 is a `hidden beast` number, since 39 + 5 + 612 + 10 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 288116676 + 107495424 = 16974^2 + 10368^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 23271292 + ... + 23271308.

Almost surely, 2^395612100 is an apocalyptic number.

395612100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

395612100 is the 19890-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 395612100

395612100 is an abundant number, since it is smaller than the sum of its proper divisors (1079532417).

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

395612100 is a wasteful number, since it uses less digits than its factorization.

395612100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The cubic root of 395612100 is about 734.1021940681.

Adding to 395612100 its reverse (1216593), we get a palindrome (396828693).

The spelling of 395612100 in words is "three hundred ninety-five million, six hundred twelve thousand, one hundred".