424114560 has 192 divisors, whose sum is σ = 1515618000. Its totient is φ = 109154304.

The previous prime is 424114541. The next prime is 424114567. The reversal of 424114560 is 65411424.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424114567) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 165771 + ... + 168309.

Almost surely, 2^424114560 is an apocalyptic number.

424114560 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 424114560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757809000).

424114560 is an abundant number, since it is smaller than the sum of its proper divisors (1091503440).

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

424114560 is a wasteful number, since it uses less digits than its factorization.

424114560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2593 (or 2578 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 424114560 is about 20594.0418568090. The cubic root of 424114560 is about 751.3248051439.

Adding to 424114560 its reverse (65411424), we get a palindrome (489525984).

It can be divided in two parts, 42411 and 4560, that added together give a triangular number (46971 = T₃₀₆).

The spelling of 424114560 in words is "four hundred twenty-four million, one hundred fourteen thousand, five hundred sixty".