405804276864 has 896 divisors, whose sum is σ = 1462696320000. Its totient is φ = 111929610240.

The previous prime is 405804276793. The next prime is 405804276887. The reversal of 405804276864 is 468672408504.

It is a happy number.

405804276864 is a `hidden beast` number, since 405 + 80 + 42 + 7 + 68 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×405804276864² (a number of 24 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 405804276864.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 992186292 + ... + 992186700.

Almost surely, 2^405804276864 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 405804276864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731348160000).

405804276864 is an abundant number, since it is smaller than the sum of its proper divisors (1056892043136).

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

405804276864 is an frugal number, since it uses more digits than its factorization.

405804276864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 405804276864 in words is "four hundred five billion, eight hundred four million, two hundred seventy-six thousand, eight hundred sixty-four".