424982688 has 96 divisors (see below), whose sum is σ = 1205559936. Its totient is φ = 130311168.

The previous prime is 424982683. The next prime is 424982693. The reversal of 424982688 is 886289424.

It is an interprime number because it is at equal distance from previous prime (424982683) and next prime (424982693).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×424982688³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 424982688.

It is not an unprimeable number, because it can be changed into a prime (424982681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 627406 + ... + 628082.

It is an arithmetic number, because the mean of its divisors is an integer number (12557916).

Almost surely, 2^424982688 is an apocalyptic number.

424982688 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 424982688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602779968).

424982688 is an abundant number, since it is smaller than the sum of its proper divisors (780577248).

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

424982688 is a wasteful number, since it uses less digits than its factorization.

424982688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 1198 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 51.

The square root of 424982688 is about 20615.1082461383. The cubic root of 424982688 is about 751.8370893518.

The spelling of 424982688 in words is "four hundred twenty-four million, nine hundred eighty-two thousand, six hundred eighty-eight".