395992800 has 504 divisors, whose sum is σ = 1673549136. Its totient is φ = 89579520.

The previous prime is 395992799. The next prime is 395992841. The reversal of 395992800 is 8299593.

395992800 is a `hidden beast` number, since 39 + 599 + 28 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 4082352 + ... + 4082448.

It is an arithmetic number, because the mean of its divisors is an integer number (3320534).

Almost surely, 2^395992800 is an apocalyptic number.

395992800 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 395992800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836774568).

395992800 is an abundant number, since it is smaller than the sum of its proper divisors (1277556336).

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

395992800 is an equidigital number, since it uses as much as digits as its factorization.

395992800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 395992800 is about 19899.5678345033. The cubic root of 395992800 is about 734.3375956202.

The spelling of 395992800 in words is "three hundred ninety-five million, nine hundred ninety-two thousand, eight hundred".