395140080 has 80 divisors (see below), whose sum is σ = 1267195680. Its totient is φ = 101735424.

The previous prime is 395140079. The next prime is 395140087. The reversal of 395140080 is 80041593.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×395140080² = 312271365644812800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395140087) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 21427 + ... + 35346.

It is an arithmetic number, because the mean of its divisors is an integer number (15839946).

Almost surely, 2^395140080 is an apocalyptic number.

395140080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

395140080 is an abundant number, since it is smaller than the sum of its proper divisors (872055600).

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

395140080 is a wasteful number, since it uses less digits than its factorization.

395140080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56818 (or 56812 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 395140080 is about 19878.1306968236. The cubic root of 395140080 is about 733.8101160276.

The spelling of 395140080 in words is "three hundred ninety-five million, one hundred forty thousand, eighty".