395759520 has 432 divisors, whose sum is σ = 1562357160. Its totient is φ = 94058496.

The previous prime is 395759519. The next prime is 395759563. The reversal of 395759520 is 25957593.

395759520 is a `hidden beast` number, since 3 + 9 + 57 + 595 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 252047376 + 143712144 = 15876^2 + 11988^2 .

It is a tau number, because it is divible by the number of its divisors (432).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13646866 + ... + 13646894.

Almost surely, 2^395759520 is an apocalyptic number.

395759520 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 395759520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781178580).

395759520 is an abundant number, since it is smaller than the sum of its proper divisors (1166597640).

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

395759520 is an equidigital number, since it uses as much as digits as its factorization.

395759520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 425250, while the sum is 45.

The square root of 395759520 is about 19893.7055371793. The cubic root of 395759520 is about 734.1933674724.

The spelling of 395759520 in words is "three hundred ninety-five million, seven hundred fifty-nine thousand, five hundred twenty".