424103040 has 288 divisors, whose sum is σ = 1535786460. Its totient is φ = 111974400.

The previous prime is 424103011. The next prime is 424103041. The reversal of 424103040 is 40301424.

It can be written as a sum of positive squares in 2 ways, for example, as 403527744 + 20575296 = 20088^2 + 4536^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (424103041) 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 35 ways as a sum of consecutive naturals, for example, 4198990 + ... + 4199090.

Almost surely, 2^424103040 is an apocalyptic number.

424103040 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 424103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767893230).

424103040 is an abundant number, since it is smaller than the sum of its proper divisors (1111683420).

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

424103040 is an frugal number, since it uses more digits than its factorization.

424103040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 424103040 is about 20593.7621623636. The cubic root of 424103040 is about 751.3180024692.

Adding to 424103040 its reverse (40301424), we get a palindrome (464404464).

The spelling of 424103040 in words is "four hundred twenty-four million, one hundred three thousand, forty".