395609580 has 72 divisors (see below), whose sum is σ = 1202746272. Its totient is φ = 105255936.

The previous prime is 395609579. The next prime is 395609647. The reversal of 395609580 is 85906593.

395609580 is a `hidden beast` number, since 3 + 9 + 5 + 60 + 9 + 580 = 666.

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, 85404 + ... + 89916.

Almost surely, 2^395609580 is an apocalyptic number.

395609580 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 395609580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601373136).

395609580 is an abundant number, since it is smaller than the sum of its proper divisors (807136692).

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

395609580 is a wasteful number, since it uses less digits than its factorization.

395609580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5015 (or 5010 counting only the distinct ones).

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

The square root of 395609580 is about 19889.9366514828. The cubic root of 395609580 is about 734.1006353515.

The spelling of 395609580 in words is "three hundred ninety-five million, six hundred nine thousand, five hundred eighty".