396585000 has 240 divisors, whose sum is σ = 1535133600. Its totient is φ = 90576000.

The previous prime is 396584963. The next prime is 396585011. The reversal of 396585000 is 585693.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 59 ways as a sum of consecutive naturals, for example, 314371 + ... + 315629.

It is an arithmetic number, because the mean of its divisors is an integer number (6396390).

Almost surely, 2^396585000 is an apocalyptic number.

396585000 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 396585000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767566800).

396585000 is an abundant number, since it is smaller than the sum of its proper divisors (1138548600).

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

396585000 is a wasteful number, since it uses less digits than its factorization.

396585000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 396585000 is about 19914.4419956975. The cubic root of 396585000 is about 734.7034761123.

The spelling of 396585000 in words is "three hundred ninety-six million, five hundred eighty-five thousand".