395009316 has 144 divisors (see below), whose sum is σ = 1169226240. Its totient is φ = 111352320.

The previous prime is 395009311. The next prime is 395009333. The reversal of 395009316 is 613900593.

395009316 = T₃₁₃ + T₃₁₄ + ... + T₁₃₃₈.

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

It is not an unprimeable number, because it can be changed into a prime (395009311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 274936 + ... + 276368.

Almost surely, 2^395009316 is an apocalyptic number.

395009316 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 395009316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584613120).

395009316 is an abundant number, since it is smaller than the sum of its proper divisors (774216924).

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

395009316 is a wasteful number, since it uses less digits than its factorization.

395009316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 36.

The square root of 395009316 is about 19874.8412823851. The cubic root of 395009316 is about 733.7291603212.

The spelling of 395009316 in words is "three hundred ninety-five million, nine thousand, three hundred sixteen".