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430260480 = 2832513317
BaseRepresentation
bin11001101001010…
…100000100000000
31002222121111102100
4121221110010000
51340121313410
6110405550400
713443103506
oct3151240400
91088544370
10430260480
11200964081
12100115400
136b1a8000
1441200676
1527b8e8c0
hex19a54100

430260480 has 432 divisors, whose sum is σ = 1707516720. Its totient is φ = 99680256.

The previous prime is 430260469. The next prime is 430260503. The reversal of 430260480 is 84062034.

It can be written as a sum of positive squares in 8 ways, for example, as 264777984 + 165482496 = 16272^2 + 12864^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25309432 + ... + 25309448.

It is an arithmetic number, because the mean of its divisors is an integer number (3952585).

Almost surely, 2430260480 is an apocalyptic number.

430260480 is a gapful number since it is divisible by the number (40) 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 430260480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853758360).

430260480 is an abundant number, since it is smaller than the sum of its proper divisors (1277256240).

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

430260480 is a wasteful number, since it uses less digits than its factorization.

430260480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 430260480 is about 20742.7211329661. The cubic root of 430260480 is about 754.9366085689.

The spelling of 430260480 in words is "four hundred thirty million, two hundred sixty thousand, four hundred eighty".