405386560 has 56 divisors (see below), whose sum is σ = 971595720. Its totient is φ = 161101824.

The previous prime is 405386551. The next prime is 405386599. The reversal of 405386560 is 65683504.

It can be written as a sum of positive squares in 4 ways, for example, as 9535744 + 395850816 = 3088^2 + 19896^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46206 + ... + 54274.

Almost surely, 2^405386560 is an apocalyptic number.

405386560 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 405386560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485797860).

405386560 is an abundant number, since it is smaller than the sum of its proper divisors (566209160).

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

405386560 is a wasteful number, since it uses less digits than its factorization.

405386560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8243 (or 8233 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The square root of 405386560 is about 20134.2136672878. The cubic root of 405386560 is about 740.0989397780.

The spelling of 405386560 in words is "four hundred five million, three hundred eighty-six thousand, five hundred sixty".