395443440 has 240 divisors, whose sum is σ = 1567328256. Its totient is φ = 87436800.

The previous prime is 395443421. The next prime is 395443453. The reversal of 395443440 is 44344593.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 395443395 and 395443404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154975 + ... + 157505.

Almost surely, 2^395443440 is an apocalyptic number.

395443440 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 395443440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783664128).

395443440 is an abundant number, since it is smaller than the sum of its proper divisors (1171884816).

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

395443440 is a wasteful number, since it uses less digits than its factorization.

395443440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2588 (or 2579 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 395443440 is about 19885.7597290121. The cubic root of 395443440 is about 733.9978567848.

The spelling of 395443440 in words is "three hundred ninety-five million, four hundred forty-three thousand, four hundred forty".