405005580 has 216 divisors, whose sum is σ = 1460991168. Its totient is φ = 90510336.

The previous prime is 405005563. The next prime is 405005591. The reversal of 405005580 is 85500504.

It is a super-3 number, since 3×405005580³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 414052 + ... + 415028.

It is an arithmetic number, because the mean of its divisors is an integer number (6763848).

Almost surely, 2^405005580 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405005580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730495584).

405005580 is an abundant number, since it is smaller than the sum of its proper divisors (1055985588).

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

405005580 is a wasteful number, since it uses less digits than its factorization.

405005580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 405005580 is about 20124.7504332352. The cubic root of 405005580 is about 739.8670201757.

The spelling of 405005580 in words is "four hundred five million, five thousand, five hundred eighty".