395577360 has 240 divisors, whose sum is σ = 1411338240. Its totient is φ = 99118080.

The previous prime is 395577353. The next prime is 395577361. The reversal of 395577360 is 63775593.

395577360 is a `hidden beast` number, since 39 + 557 + 7 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (395577361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 825601 + ... + 826079.

It is an arithmetic number, because the mean of its divisors is an integer number (5880576).

Almost surely, 2^395577360 is an apocalyptic number.

395577360 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 395577360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705669120).

395577360 is an abundant number, since it is smaller than the sum of its proper divisors (1015760880).

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

395577360 is a wasteful number, since it uses less digits than its factorization.

395577360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 595350, while the sum is 45.

The square root of 395577360 is about 19889.1266776598. The cubic root of 395577360 is about 734.0807054629.

The spelling of 395577360 in words is "three hundred ninety-five million, five hundred seventy-seven thousand, three hundred sixty".