424993536 has 216 divisors, whose sum is σ = 1372709520. Its totient is φ = 125337600.

The previous prime is 424993531. The next prime is 424993549. The reversal of 424993536 is 635399424.

424993536 is a `hidden beast` number, since 4 + 24 + 9 + 93 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 424993491 and 424993500.

It is not an unprimeable number, because it can be changed into a prime (424993531) 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 23 ways as a sum of consecutive naturals, for example, 1038900 + ... + 1039308.

Almost surely, 2^424993536 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 424993536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686354760).

424993536 is an abundant number, since it is smaller than the sum of its proper divisors (947715984).

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

424993536 is a wasteful number, since it uses less digits than its factorization.

424993536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 466 counting only the distinct ones).

The product of its digits is 699840, while the sum is 45.

The square root of 424993536 is about 20615.3713524642. The cubic root of 424993536 is about 751.8434863648.

The spelling of 424993536 in words is "four hundred twenty-four million, nine hundred ninety-three thousand, five hundred thirty-six".