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490215600 = 24325273397
BaseRepresentation
bin11101001110000…
…001100010110000
31021011102112101100
4131032001202300
52000443344400
6120351004400
715101523000
oct3516014260
91234375340
10490215600
11231794266
12118209700
137a73a704
144916a000
152d084100
hex1d3818b0

490215600 has 360 divisors, whose sum is σ = 1988885600. Its totient is φ = 111767040.

The previous prime is 490215563. The next prime is 490215613. The reversal of 490215600 is 6512094.

490215600 is a `hidden beast` number, since 49 + 0 + 2 + 15 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×4902156002 = 480622668966720000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1234602 + ... + 1234998.

Almost surely, 2490215600 is an apocalyptic number.

490215600 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 490215600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994442800).

490215600 is an abundant number, since it is smaller than the sum of its proper divisors (1498670000).

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

490215600 is a wasteful number, since it uses less digits than its factorization.

490215600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 490215600 is about 22140.8129932033. The cubic root of 490215600 is about 788.4891274716.

Adding to 490215600 its reverse (6512094), we get a palindrome (496727694).

It can be divided in two parts, 4902 and 15600, that added together give a palindrome (20502).

The spelling of 490215600 in words is "four hundred ninety million, two hundred fifteen thousand, six hundred".