395130240 has 192 divisors, whose sum is σ = 1375592400. Its totient is φ = 104509440.

The previous prime is 395130227. The next prime is 395130259. The reversal of 395130240 is 42031593.

395130240 is a `hidden beast` number, since 395 + 1 + 30 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×395130240² = 312255813124915200, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 1042371 + ... + 1042749.

Almost surely, 2^395130240 is an apocalyptic number.

395130240 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 395130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687796200).

395130240 is an abundant number, since it is smaller than the sum of its proper divisors (980462160).

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

395130240 is a wasteful number, since it uses less digits than its factorization.

395130240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 395130240 is about 19877.8831871002. The cubic root of 395130240 is about 733.8040247266.

It can be divided in two parts, 3951 and 30240, that added together give a triangular number (34191 = T₂₆₁).

The spelling of 395130240 in words is "three hundred ninety-five million, one hundred thirty thousand, two hundred forty".