405480084504 has 64 divisors (see below), whose sum is σ = 1110260753280. Its totient is φ = 122383200000.

The previous prime is 405480084467. The next prime is 405480084557.

405480084504 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2993317 + ... + 3125844.

It is an arithmetic number, because the mean of its divisors is an integer number (17347824270).

Almost surely, 2^405480084504 is an apocalyptic number.

405480084504 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

405480084504 is an abundant number, since it is smaller than the sum of its proper divisors (704780668776).

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

405480084504 is a wasteful number, since it uses less digits than its factorization.

405480084504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6119432 (or 6119428 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 42.

The spelling of 405480084504 in words is "four hundred five billion, four hundred eighty million, eighty-four thousand, five hundred four".