395025760800 has 864 divisors, whose sum is σ = 1565588920896. Its totient is φ = 92897280000.

The previous prime is 395025760741. The next prime is 395025760819. The reversal of 395025760800 is 8067520593.

It is a happy number.

395025760800 is a `hidden beast` number, since 3 + 9 + 502 + 5 + 7 + 60 + 80 + 0 = 666.

395025760800 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 657280500 + ... + 657281100.

It is an arithmetic number, because the mean of its divisors is an integer number (1812024214).

Almost surely, 2^395025760800 is an apocalyptic number.

395025760800 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 395025760800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782794460448).

395025760800 is an abundant number, since it is smaller than the sum of its proper divisors (1170563160096).

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

395025760800 is a wasteful number, since it uses less digits than its factorization.

395025760800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 395025760800 in words is "three hundred ninety-five billion, twenty-five million, seven hundred sixty thousand, eight hundred".