409585620 has 24 divisors (see below), whose sum is σ = 1146839904. Its totient is φ = 109222816.

The previous prime is 409585567. The next prime is 409585639. The reversal of 409585620 is 26585904.

It is a super-3 number, since 3×409585620³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3413154 + ... + 3413273.

It is an arithmetic number, because the mean of its divisors is an integer number (47784996).

Almost surely, 2^409585620 is an apocalyptic number.

It is an amenable number.

409585620 is an abundant number, since it is smaller than the sum of its proper divisors (737254284).

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

409585620 is a wasteful number, since it uses less digits than its factorization.

409585620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6826439 (or 6826437 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 409585620 is about 20238.2217598286. The cubic root of 409585620 is about 742.6455223847.

The spelling of 409585620 in words is "four hundred nine million, five hundred eighty-five thousand, six hundred twenty".