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494120640 = 263513172137
BaseRepresentation
bin11101011100111…
…010111011000000
31021102202221002110
4131130322323000
52002443330030
6121010415320
715146645646
oct3534727300
91242687073
10494120640
11233a11172
12119591540
137b4a6ca0
14498a5196
152d5a61b0
hex1d73aec0

494120640 has 336 divisors, whose sum is σ = 1807841952. Its totient is φ = 113639424.

The previous prime is 494120609. The next prime is 494120659. The reversal of 494120640 is 46021494.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 494120598 and 494120607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3606652 + ... + 3606788.

It is an arithmetic number, because the mean of its divisors is an integer number (5380482).

Almost surely, 2494120640 is an apocalyptic number.

494120640 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 494120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903920976).

494120640 is an abundant number, since it is smaller than the sum of its proper divisors (1313721312).

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

494120640 is a wasteful number, since it uses less digits than its factorization.

494120640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 494120640 is about 22228.8245303255. The cubic root of 494120640 is about 790.5772846164.

The spelling of 494120640 in words is "four hundred ninety-four million, one hundred twenty thousand, six hundred forty".