395313240 has 512 divisors, whose sum is σ = 1592524800. Its totient is φ = 76308480.

The previous prime is 395313227. The next prime is 395313263. The reversal of 395313240 is 42313593.

It is a super-3 number, since 3×395313240³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 395313198 and 395313207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8410897 + ... + 8410943.

It is an arithmetic number, because the mean of its divisors is an integer number (3110400).

Almost surely, 2^395313240 is an apocalyptic number.

395313240 is a gapful number since it is divisible by the number (30) 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 395313240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796262400).

395313240 is an abundant number, since it is smaller than the sum of its proper divisors (1197211560).

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

395313240 is a wasteful number, since it uses less digits than its factorization.

395313240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 395313240 is about 19882.4857600854. The cubic root of 395313240 is about 733.9172915243.

The spelling of 395313240 in words is "three hundred ninety-five million, three hundred thirteen thousand, two hundred forty".