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460830240 = 2532513103239
BaseRepresentation
bin11011011101111…
…011011000100000
31012010010121020200
4123131323120200
51420433031430
6113421105200
714263664253
oct3335733040
91163117220
10460830240
11217143642
1210a3b8200
137461c420
14452bb09a
152a6cc460
hex1b77b620

460830240 has 288 divisors, whose sum is σ = 1717148160. Its totient is φ = 111863808.

The previous prime is 460830229. The next prime is 460830247. The reversal of 460830240 is 42038064.

460830240 is a `hidden beast` number, since 4 + 608 + 30 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (460830247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1928041 + ... + 1928279.

It is an arithmetic number, because the mean of its divisors is an integer number (5962320).

Almost surely, 2460830240 is an apocalyptic number.

460830240 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 460830240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858574080).

460830240 is an abundant number, since it is smaller than the sum of its proper divisors (1256317920).

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

460830240 is a wasteful number, since it uses less digits than its factorization.

460830240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 365 counting only the distinct ones).

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

The square root of 460830240 is about 21466.9569338553. The cubic root of 460830240 is about 772.4084033791.

The spelling of 460830240 in words is "four hundred sixty million, eight hundred thirty thousand, two hundred forty".