395810016 has 96 divisors (see below), whose sum is σ = 1219599360. Its totient is φ = 110025216.

The previous prime is 395809993. The next prime is 395810021. The reversal of 395810016 is 610018593.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16905 + ... + 32823.

It is an arithmetic number, because the mean of its divisors is an integer number (12704160).

Almost surely, 2^395810016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 395810016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609799680).

395810016 is an abundant number, since it is smaller than the sum of its proper divisors (823789344).

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

395810016 is a wasteful number, since it uses less digits than its factorization.

395810016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15976 (or 15968 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 395810016 is about 19894.9746418537. The cubic root of 395810016 is about 734.2245920332.

The spelling of 395810016 in words is "three hundred ninety-five million, eight hundred ten thousand, sixteen".