424264512 has 224 divisors, whose sum is σ = 1404518400. Its totient is φ = 110223360.

The previous prime is 424264507. The next prime is 424264541. The reversal of 424264512 is 215462424.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×424264512² = 360000752285196288, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 424264512.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 707989 + ... + 708587.

Almost surely, 2^424264512 is an apocalyptic number.

424264512 is a gapful number since it is divisible by the number (42) 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 424264512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702259200).

424264512 is an abundant number, since it is smaller than the sum of its proper divisors (980253888).

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

424264512 is a wasteful number, since it uses less digits than its factorization.

424264512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 659 counting only the distinct ones).

The product of its digits is 15360, while the sum is 30.

The square root of 424264512 is about 20597.6821997039. The cubic root of 424264512 is about 751.4133420571.

The spelling of 424264512 in words is "four hundred twenty-four million, two hundred sixty-four thousand, five hundred twelve".