395096580 has 72 divisors (see below), whose sum is σ = 1239802200. Its totient is φ = 101724672.

The previous prime is 395096561. The next prime is 395096593. The reversal of 395096580 is 85690593.

395096580 is a `hidden beast` number, since 3 + 9 + 509 + 65 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 163021824 + 232074756 = 12768^2 + 15234^2 .

It is a super-2 number, since 2×395096580² = 312202615055392800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32625 + ... + 43064.

It is an arithmetic number, because the mean of its divisors is an integer number (17219475).

Almost surely, 2^395096580 is an apocalyptic number.

395096580 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

395096580 is an abundant number, since it is smaller than the sum of its proper divisors (844705620).

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

395096580 is a wasteful number, since it uses less digits than its factorization.

395096580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75733 (or 75728 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 395096580 is about 19877.0364994382. The cubic root of 395096580 is about 733.7831872555.

The spelling of 395096580 in words is "three hundred ninety-five million, ninety-six thousand, five hundred eighty".