424000512 has 132 divisors (see below), whose sum is σ = 1318841160. Its totient is φ = 130424832.

The previous prime is 424000471. The next prime is 424000513. The reversal of 424000512 is 215000424.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424000513) 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 11 ways as a sum of consecutive naturals, for example, 118039 + ... + 121577.

Almost surely, 2^424000512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424000512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659420580).

424000512 is an abundant number, since it is smaller than the sum of its proper divisors (894840648).

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

424000512 is a wasteful number, since it uses less digits than its factorization.

424000512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3578 (or 3557 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 424000512 is about 20591.2727144293. The cubic root of 424000512 is about 751.2574532369.

Adding to 424000512 its reverse (215000424), we get a palindrome (639000936).

The spelling of 424000512 in words is "four hundred twenty-four million, five hundred twelve", and thus it is an aban number.