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466988340 = 223571331289
BaseRepresentation
bin11011110101011…
…010110100110100
31012112201110120110
4123311122310310
51424022111330
6114201103020
714400223020
oct3365326464
91175643513
10466988340
1121a66a285
12110487a70
1375997380
1446041380
152aee6db0
hex1bd5ad34

466988340 has 288 divisors, whose sum is σ = 1681585920. Its totient is φ = 94279680.

The previous prime is 466988329. The next prime is 466988341. The reversal of 466988340 is 43889664.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 466988340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466988341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5247016 + ... + 5247104.

It is an arithmetic number, because the mean of its divisors is an integer number (5838840).

Almost surely, 2466988340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 466988340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840792960).

466988340 is an abundant number, since it is smaller than the sum of its proper divisors (1214597580).

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

466988340 is a wasteful number, since it uses less digits than its factorization.

466988340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The square root of 466988340 is about 21609.9130030641. The cubic root of 466988340 is about 775.8337693497.

The spelling of 466988340 in words is "four hundred sixty-six million, nine hundred eighty-eight thousand, three hundred forty".