404540560 has 80 divisors (see below), whose sum is σ = 1004471424. Its totient is φ = 151151616.

The previous prime is 404540527. The next prime is 404540567. The reversal of 404540560 is 65045404.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×404540560² = 327306129370227200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (404540567) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 76564 + ... + 81676.

Almost surely, 2^404540560 is an apocalyptic number.

404540560 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 404540560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502235712).

404540560 is an abundant number, since it is smaller than the sum of its proper divisors (599930864).

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

404540560 is a wasteful number, since it uses less digits than its factorization.

404540560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5192 (or 5186 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 404540560 is about 20113.1936797715. The cubic root of 404540560 is about 739.5837444702.

Adding to 404540560 its reverse (65045404), we get a palindrome (469585964).

The spelling of 404540560 in words is "four hundred four million, five hundred forty thousand, five hundred sixty".