395766000 has 400 divisors, whose sum is σ = 1638436800. Its totient is φ = 90201600.

The previous prime is 395765983. The next prime is 395766047. The reversal of 395766000 is 667593.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1133826 + ... + 1134174.

It is an arithmetic number, because the mean of its divisors is an integer number (4096092).

Almost surely, 2^395766000 is an apocalyptic number.

395766000 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 395766000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819218400).

395766000 is an abundant number, since it is smaller than the sum of its proper divisors (1242670800).

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

395766000 is a wasteful number, since it uses less digits than its factorization.

395766000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 395766000 is about 19893.8684020982. The cubic root of 395766000 is about 734.1973745750.

The spelling of 395766000 in words is "three hundred ninety-five million, seven hundred sixty-six thousand".