395501568 has 336 divisors, whose sum is σ = 1394520960. Its totient is φ = 97320960.

The previous prime is 395501531. The next prime is 395501597. The reversal of 395501568 is 865105593.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20815863 + ... + 20815881.

It is an arithmetic number, because the mean of its divisors is an integer number (4150360).

Almost surely, 2^395501568 is an apocalyptic number.

395501568 is a gapful number since it is divisible by the number (38) 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 395501568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697260480).

395501568 is an abundant number, since it is smaller than the sum of its proper divisors (999019392).

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

395501568 is a wasteful number, since it uses less digits than its factorization.

395501568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 42.

The square root of 395501568 is about 19887.2212236904. The cubic root of 395501568 is about 734.0338195654.

The spelling of 395501568 in words is "three hundred ninety-five million, five hundred one thousand, five hundred sixty-eight".