405864468504 has 128 divisors (see below), whose sum is σ = 1294623648000. Its totient is φ = 116516102400.

The previous prime is 405864468487. The next prime is 405864468509.

405864468504 is a `hidden beast` number, since 4 + 0 + 586 + 4 + 4 + 6 + 8 + 50 + 4 = 666.

405864468504 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405864468509) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4450077 + ... + 4540364.

It is an arithmetic number, because the mean of its divisors is an integer number (10114247250).

Almost surely, 2^405864468504 is an apocalyptic number.

405864468504 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

405864468504 is an abundant number, since it is smaller than the sum of its proper divisors (888759179496).

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

405864468504 is a wasteful number, since it uses less digits than its factorization.

405864468504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8990486 (or 8990476 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 54.

The spelling of 405864468504 in words is "four hundred five billion, eight hundred sixty-four million, four hundred sixty-eight thousand, five hundred four".