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470240430 = 235116012371
BaseRepresentation
bin11100000001110…
…100110010101110
31012202211200121020
4130001310302232
51430340143210
6114354515010
714436656232
oct3401646256
91182750536
10470240430
11221490660
12111595a66
137656569a
144664a5c2
152b43a770
hex1c074cae

470240430 has 64 divisors (see below), whose sum is σ = 1233743616. Its totient is φ = 113760000.

The previous prime is 470240429. The next prime is 470240431. The reversal of 470240430 is 34042074.

It is an interprime number because it is at equal distance from previous prime (470240429) and next prime (470240431).

It is a super-2 number, since 2×4702404302 = 442252124013169800, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 470240430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470240431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197145 + ... + 199515.

It is an arithmetic number, because the mean of its divisors is an integer number (19277244).

Almost surely, 2470240430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 470240430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616871808).

470240430 is an abundant number, since it is smaller than the sum of its proper divisors (763503186).

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

470240430 is a wasteful number, since it uses less digits than its factorization.

470240430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2993.

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 470240430 is about 21685.0277841648. The cubic root of 470240430 is about 777.6305643300.

The spelling of 470240430 in words is "four hundred seventy million, two hundred forty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 601 1202 1803 2371 3005 3606 4742 6010 6611 7113 9015 11855 13222 14226 18030 19833 23710 26081 33055 35565 39666 52162 66110 71130 78243 99165 130405 156486 198330 260810 391215 782430 1424971 2849942 4274913 7124855 8549826 14249710 15674681 21374565 31349362 42749130 47024043 78373405 94048086 156746810 235120215 470240430