405505505504 has 48 divisors (see below), whose sum is σ = 871124947056. Its totient is φ = 184276300800.

The previous prime is 405505505501. The next prime is 405505505521.

405505505504 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405505505501) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1347794 + ... + 1620974.

It is an arithmetic number, because the mean of its divisors is an integer number (18148436397).

Almost surely, 2^405505505504 is an apocalyptic number.

405505505504 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

405505505504 is an abundant number, since it is smaller than the sum of its proper divisors (465619441552).

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

405505505504 is a wasteful number, since it uses less digits than its factorization.

405505505504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277419 (or 277411 counting only the distinct ones).

The product of its (nonzero) digits is 250000, while the sum is 38.

The spelling of 405505505504 in words is "four hundred five billion, five hundred five million, five hundred five thousand, five hundred four".