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468494416 = 24133476491
BaseRepresentation
bin11011111011001…
…010100001010000
31012122112222112001
4123323022201100
51424413310131
6114253243344
714416064635
oct3373124120
91178488461
10468494416
112204a8875
12110a93554
13760a3a40
144631418c
152b1e3261
hex1beca850

468494416 has 40 divisors (see below), whose sum is σ = 980499744. Its totient is φ = 215571840.

The previous prime is 468494393. The next prime is 468494441. The reversal of 468494416 is 614494864.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68931 + ... + 75421.

Almost surely, 2468494416 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 468494416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490249872).

468494416 is an abundant number, since it is smaller than the sum of its proper divisors (512005328).

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

468494416 is a wasteful number, since it uses less digits than its factorization.

468494416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6859 (or 6853 counting only the distinct ones).

The product of its digits is 663552, while the sum is 46.

The square root of 468494416 is about 21644.7318301706. The cubic root of 468494416 is about 776.6669170140. Note that the first 3 decimals are identical.

The spelling of 468494416 in words is "four hundred sixty-eight million, four hundred ninety-four thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 16 26 52 104 208 347 694 1388 2776 4511 5552 6491 9022 12982 18044 25964 36088 51928 72176 84383 103856 168766 337532 675064 1350128 2252377 4504754 9009508 18019016 29280901 36038032 58561802 117123604 234247208 468494416