424075008 has 216 divisors, whose sum is σ = 1342172160. Its totient is φ = 118487040.

The previous prime is 424075007. The next prime is 424075021. The reversal of 424075008 is 800570424.

It is a super-2 number, since 2×424075008² = 359679224820400128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424075007) 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, 2220193 + ... + 2220383.

It is an arithmetic number, because the mean of its divisors is an integer number (6213760).

Almost surely, 2^424075008 is an apocalyptic number.

424075008 is a gapful number since it is divisible by the number (48) 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 424075008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671086080).

424075008 is an abundant number, since it is smaller than the sum of its proper divisors (918097152).

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

424075008 is a wasteful number, since it uses less digits than its factorization.

424075008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 424075008 is about 20593.0815566782. The cubic root of 424075008 is about 751.3014487796.

The spelling of 424075008 in words is "four hundred twenty-four million, seventy-five thousand, eight".