405465727564504 has 32 divisors (see below), whose sum is σ = 776402140053600. Its totient is φ = 198470263763200.

The previous prime is 405465727564439. The next prime is 405465727564571.

It is a happy number.

405465727564504 is nontrivially palindromic in base 10.

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, 2819107972 + ... + 2819251795.

It is an arithmetic number, because the mean of its divisors is an integer number (24262566876675).

Almost surely, 2^{405465727564504} is an apocalyptic number.

It is an amenable number.

405465727564504 is a deficient number, since it is larger than the sum of its proper divisors (370936412489096).

405465727564504 is a wasteful number, since it uses less digits than its factorization.

405465727564504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5638359963 (or 5638359959 counting only the distinct ones).

The product of its (nonzero) digits is 564480000, while the sum is 64.

The spelling of 405465727564504 in words is "four hundred five trillion, four hundred sixty-five billion, seven hundred twenty-seven million, five hundred sixty-four thousand, five hundred four".