395133840 has 120 divisors (see below), whose sum is σ = 1346961408. Its totient is φ = 103783680.

The previous prime is 395133799. The next prime is 395133847. The reversal of 395133840 is 48331593.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×395133840² = 312261503026291200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 395133795 and 395133804.

It is not an unprimeable number, because it can be changed into a prime (395133847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44145 + ... + 52335.

Almost surely, 2^395133840 is an apocalyptic number.

395133840 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 395133840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673480704).

395133840 is an abundant number, since it is smaller than the sum of its proper divisors (951827568).

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

395133840 is a wasteful number, since it uses less digits than its factorization.

395133840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8277 (or 8268 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 395133840 is about 19877.9737397955. The cubic root of 395133840 is about 733.8062532631.

The spelling of 395133840 in words is "three hundred ninety-five million, one hundred thirty-three thousand, eight hundred forty".