395127040 has 288 divisors, whose sum is σ = 1247984640. Its totient is φ = 116121600.

The previous prime is 395126993. The next prime is 395127053. The reversal of 395127040 is 40721593.

It is a super-2 number, since 2×395127040² = 312250755478323200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 395126993 and 395127011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1872535 + ... + 1872745.

It is an arithmetic number, because the mean of its divisors is an integer number (4333280).

Almost surely, 2^395127040 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 395127040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623992320).

395127040 is an abundant number, since it is smaller than the sum of its proper divisors (852857600).

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

395127040 is a wasteful number, since it uses less digits than its factorization.

395127040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 395127040 is about 19877.8026954691. The cubic root of 395127040 is about 733.8020437939.

The spelling of 395127040 in words is "three hundred ninety-five million, one hundred twenty-seven thousand, forty".