395690400 has 288 divisors, whose sum is σ = 1636145280. Its totient is φ = 90408960.

The previous prime is 395690377. The next prime is 395690437. The reversal of 395690400 is 4096593.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 149892 + ... + 152508.

It is an arithmetic number, because the mean of its divisors is an integer number (5681060).

Almost surely, 2^395690400 is an apocalyptic number.

395690400 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 395690400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818072640).

395690400 is an abundant number, since it is smaller than the sum of its proper divisors (1240454880).

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

395690400 is a wasteful number, since it uses less digits than its factorization.

395690400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2653 (or 2634 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 395690400 is about 19891.9682284082. The cubic root of 395690400 is about 734.1506223223.

The spelling of 395690400 in words is "three hundred ninety-five million, six hundred ninety thousand, four hundred".