395945280 has 112 divisors (see below), whose sum is σ = 1396837440. Its totient is φ = 105583104.

The previous prime is 395945267. The next prime is 395945281. The reversal of 395945280 is 82549593.

395945280 is a `hidden beast` number, since 3 + 9 + 594 + 52 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395945281) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 14274 + ... + 31553.

Almost surely, 2^395945280 is an apocalyptic number.

395945280 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

395945280 is an abundant number, since it is smaller than the sum of its proper divisors (1000892160).

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

395945280 is a wasteful number, since it uses less digits than its factorization.

395945280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45853 (or 45837 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 395945280 is about 19898.3738029016. The cubic root of 395945280 is about 734.3082204072.

The spelling of 395945280 in words is "three hundred ninety-five million, nine hundred forty-five thousand, two hundred eighty".