405580560 has 320 divisors, whose sum is σ = 1661036544. Its totient is φ = 79257600.

The previous prime is 405580559. The next prime is 405580621. The reversal of 405580560 is 65085504.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 63 ways as a sum of consecutive naturals, for example, 313515 + ... + 314805.

Almost surely, 2^405580560 is an apocalyptic number.

405580560 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 405580560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830518272).

405580560 is an abundant number, since it is smaller than the sum of its proper divisors (1255455984).

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

405580560 is a wasteful number, since it uses less digits than its factorization.

405580560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The square root of 405580560 is about 20139.0307611861. The cubic root of 405580560 is about 740.2169804426.

The spelling of 405580560 in words is "four hundred five million, five hundred eighty thousand, five hundred sixty".