395040240 has 240 divisors, whose sum is σ = 1572899328. Its totient is φ = 90263808.

The previous prime is 395040227. The next prime is 395040257. The reversal of 395040240 is 42040593.

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 (27).

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, 134629 + ... + 137531.

Almost surely, 2^395040240 is an apocalyptic number.

395040240 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 395040240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786449664).

395040240 is an abundant number, since it is smaller than the sum of its proper divisors (1177859088).

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

395040240 is a wasteful number, since it uses less digits than its factorization.

395040240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2938 (or 2920 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 395040240 is about 19875.6192356364. The cubic root of 395040240 is about 733.7483069148.

The spelling of 395040240 in words is "three hundred ninety-five million, forty thousand, two hundred forty".