395406000 has 240 divisors, whose sum is σ = 1507323168. Its totient is φ = 95808000.

The previous prime is 395405999. The next prime is 395406001. The reversal of 395406000 is 604593.

It is a happy number.

395406000 is a `hidden beast` number, since 3 + 9 + 54 + 0 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (395405999) and next prime (395406001).

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (395406001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 197002 + ... + 198998.

Almost surely, 2^395406000 is an apocalyptic number.

395406000 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 395406000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753661584).

395406000 is an abundant number, since it is smaller than the sum of its proper divisors (1111917168).

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

395406000 is a wasteful number, since it uses less digits than its factorization.

395406000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2037 (or 2018 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 395406000 is about 19884.8183295699. The cubic root of 395406000 is about 733.9746914432.

The spelling of 395406000 in words is "three hundred ninety-five million, four hundred six thousand".