405466560 has 140 divisors (see below), whose sum is σ = 1442408088. Its totient is φ = 108117504.

The previous prime is 405466553. The next prime is 405466571. The reversal of 405466560 is 65664504.

It is a happy number.

405466560 is a `hidden beast` number, since 40 + 54 + 6 + 6 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18099 + ... + 33741.

Almost surely, 2^405466560 is an apocalyptic number.

405466560 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 405466560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721204044).

405466560 is an abundant number, since it is smaller than the sum of its proper divisors (1036941528).

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

405466560 is a wasteful number, since it uses less digits than its factorization.

405466560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15672 (or 15653 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 405466560 is about 20136.2002373834. The cubic root of 405466560 is about 740.1476209025.

The spelling of 405466560 in words is "four hundred five million, four hundred sixty-six thousand, five hundred sixty".