395798400 has 288 divisors, whose sum is σ = 1467484200. Its totient is φ = 105338880.

The previous prime is 395798387. The next prime is 395798407. The reversal of 395798400 is 4897593.

395798400 is a `hidden beast` number, since 39 + 579 + 8 + 40 + 0 = 666.

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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395798407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 777346 + ... + 777854.

Almost surely, 2^395798400 is an apocalyptic number.

395798400 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 395798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733742100).

395798400 is an abundant number, since it is smaller than the sum of its proper divisors (1071685800).

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

395798400 is an equidigital number, since it uses as much as digits as its factorization.

395798400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 395798400 is about 19894.6827066933. The cubic root of 395798400 is about 734.2174094322.

The spelling of 395798400 in words is "three hundred ninety-five million, seven hundred ninety-eight thousand, four hundred".