395535360 has 176 divisors, whose sum is σ = 1380693312. Its totient is φ = 95846400.

The previous prime is 395535359. The next prime is 395535403. The reversal of 395535360 is 63535593.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (176).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167790 + ... + 170130.

Almost surely, 2^395535360 is an apocalyptic number.

395535360 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 395535360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690346656).

395535360 is an abundant number, since it is smaller than the sum of its proper divisors (985157952).

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

395535360 is a wasteful number, since it uses less digits than its factorization.

395535360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2380 (or 2362 counting only the distinct ones).

The product of its (nonzero) digits is 182250, while the sum is 39.

The square root of 395535360 is about 19888.0707963342. The cubic root of 395535360 is about 734.0547244673.

The spelling of 395535360 in words is "three hundred ninety-five million, five hundred thirty-five thousand, three hundred sixty".