395366400 has 624 divisors, whose sum is σ = 1706349120. Its totient is φ = 88473600.

The previous prime is 395366393. The next prime is 395366401. The reversal of 395366400 is 4663593.

395366400 is a `hidden beast` number, since 3 + 9 + 5 + 3 + 6 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395366401) 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, 30412794 + ... + 30412806.

Almost surely, 2^395366400 is an apocalyptic number.

395366400 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 395366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853174560).

395366400 is an abundant number, since it is smaller than the sum of its proper divisors (1310982720).

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

395366400 is a wasteful number, since it uses less digits than its factorization.

395366400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 395366400 is about 19883.8225701197. The cubic root of 395366400 is about 733.9501880483.

The spelling of 395366400 in words is "three hundred ninety-five million, three hundred sixty-six thousand, four hundred".