395577120 has 96 divisors (see below), whose sum is σ = 1254657600. Its totient is φ = 104760320.

The previous prime is 395577089. The next prime is 395577137. The reversal of 395577120 is 21775593.

It is a tau number, because it is divible by the number of its divisors (96).

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, 68755 + ... + 74285.

It is an arithmetic number, because the mean of its divisors is an integer number (13069350).

Almost surely, 2^395577120 is an apocalyptic number.

395577120 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 395577120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627328800).

395577120 is an abundant number, since it is smaller than the sum of its proper divisors (859080480).

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

395577120 is a wasteful number, since it uses less digits than its factorization.

395577120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5698 (or 5690 counting only the distinct ones).

The product of its (nonzero) digits is 66150, while the sum is 39.

The square root of 395577120 is about 19889.1206442115. The cubic root of 395577120 is about 734.0805570052.

The spelling of 395577120 in words is "three hundred ninety-five million, five hundred seventy-seven thousand, one hundred twenty".