405408084480 has 800 divisors, whose sum is σ = 1716880112640. Its totient is φ = 89460080640.

The previous prime is 405408084467. The next prime is 405408084503. The reversal of 405408084480 is 84480804504.

405408084480 is a `hidden beast` number, since 40 + 54 + 0 + 8 + 0 + 84 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 42089265 + ... + 42098895.

Almost surely, 2^405408084480 is an apocalyptic number.

405408084480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405408084480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858440056320).

405408084480 is an abundant number, since it is smaller than the sum of its proper divisors (1311472028160).

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

405408084480 is an equidigital number, since it uses as much as digits as its factorization.

405408084480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9702 (or 9677 counting only the distinct ones).

The product of its (nonzero) digits is 655360, while the sum is 45.

Adding to 405408084480 its reverse (84480804504), we get a palindrome (489888888984).

The spelling of 405408084480 in words is "four hundred five billion, four hundred eight million, eighty-four thousand, four hundred eighty".