395373440 has 256 divisors, whose sum is σ = 1205591040. Its totient is φ = 120422400.

The previous prime is 395373401. The next prime is 395373467. The reversal of 395373440 is 44373593.

It is a junction number, because it is equal to n+sod(n) for n = 395373394 and 395373403.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3498824 + ... + 3498936.

It is an arithmetic number, because the mean of its divisors is an integer number (4709340).

Almost surely, 2^395373440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 395373440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602795520).

395373440 is an abundant number, since it is smaller than the sum of its proper divisors (810217600).

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

395373440 is a wasteful number, since it uses less digits than its factorization.

395373440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 38.

The square root of 395373440 is about 19883.9995976665. Note that the first 3 decimals coincide. The cubic root of 395373440 is about 733.9545443270.

The spelling of 395373440 in words is "three hundred ninety-five million, three hundred seventy-three thousand, four hundred forty".