424896912 has 240 divisors, whose sum is σ = 1420623360. Its totient is φ = 117043200.

The previous prime is 424896907. The next prime is 424896959. The reversal of 424896912 is 219698424.

It is a super-3 number, since 3×424896912³ (a number of 27 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 834514 + ... + 835022.

It is an arithmetic number, because the mean of its divisors is an integer number (5919264).

Almost surely, 2^424896912 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 424896912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710311680).

424896912 is an abundant number, since it is smaller than the sum of its proper divisors (995726448).

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

424896912 is a wasteful number, since it uses less digits than its factorization.

424896912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 573 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 424896912 is about 20613.0277252033. The cubic root of 424896912 is about 751.7865038266.

The spelling of 424896912 in words is "four hundred twenty-four million, eight hundred ninety-six thousand, nine hundred twelve".