395303616 has 84 divisors (see below), whose sum is σ = 1139903232. Its totient is φ = 130973184.

The previous prime is 395303593. The next prime is 395303707. The reversal of 395303616 is 616303593.

395303616 is a `hidden beast` number, since 3 + 9 + 5 + 30 + 3 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97665 + ... + 101631.

Almost surely, 2^395303616 is an apocalyptic number.

395303616 is a gapful number since it is divisible by the number (36) 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 395303616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569951616).

395303616 is an abundant number, since it is smaller than the sum of its proper divisors (744599616).

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

395303616 is a wasteful number, since it uses less digits than its factorization.

395303616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4158 (or 4145 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 36.

The square root of 395303616 is about 19882.2437365605. The cubic root of 395303616 is about 733.9113356758.

The spelling of 395303616 in words is "three hundred ninety-five million, three hundred three thousand, six hundred sixteen".