395764200 has 216 divisors, whose sum is σ = 1440317970. Its totient is φ = 97344000.

The previous prime is 395764181. The next prime is 395764211. The reversal of 395764200 is 2467593.

395764200 is a `hidden beast` number, since 3 + 9 + 5 + 7 + 642 + 0 + 0 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 95296644 + 300467556 = 9762^2 + 17334^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 303550 + ... + 304850.

Almost surely, 2^395764200 is an apocalyptic number.

395764200 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 395764200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720158985).

395764200 is an abundant number, since it is smaller than the sum of its proper divisors (1044553770).

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

395764200 is a wasteful number, since it uses less digits than its factorization.

395764200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1349 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 395764200 is about 19893.8231619767. The cubic root of 395764200 is about 734.1962614953.

The spelling of 395764200 in words is "three hundred ninety-five million, seven hundred sixty-four thousand, two hundred".