395249616 has 120 divisors (see below), whose sum is σ = 1140444864. Its totient is φ = 127733760.

The previous prime is 395249611. The next prime is 395249633. The reversal of 395249616 is 616942593.

395249616 is a `hidden beast` number, since 3 + 9 + 5 + 24 + 9 + 616 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (349920) is a multiple of the sum of its prime divisors (720).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395249611) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 684720 + ... + 685296.

Almost surely, 2^395249616 is an apocalyptic number.

395249616 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 395249616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570222432).

395249616 is an abundant number, since it is smaller than the sum of its proper divisors (745195248).

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

395249616 is a wasteful number, since it uses less digits than its factorization.

395249616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 720 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 395249616 is about 19880.8856945560. The cubic root of 395249616 is about 733.8779157800.

The spelling of 395249616 in words is "three hundred ninety-five million, two hundred forty-nine thousand, six hundred sixteen".