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494294400 = 2734521907
BaseRepresentation
bin11101011101100…
…101010110000000
31021110002202110000
4131131211112000
52003014410100
6121014240000
715151301355
oct3535452600
91243082400
10494294400
1123401a776
12119656000
137b5380c2
144990c62c
152d5dc900
hex1d765580

494294400 has 240 divisors, whose sum is σ = 1825011540. Its totient is φ = 131742720.

The previous prime is 494294387. The next prime is 494294419. The reversal of 494294400 is 4492494.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 258247 + ... + 260153.

Almost surely, 2494294400 is an apocalyptic number.

494294400 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 494294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912505770).

494294400 is an abundant number, since it is smaller than the sum of its proper divisors (1330717140).

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

494294400 is a wasteful number, since it uses less digits than its factorization.

494294400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1943 (or 1917 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 494294400 is about 22232.7326255681. The cubic root of 494294400 is about 790.6699439109.

The spelling of 494294400 in words is "four hundred ninety-four million, two hundred ninety-four thousand, four hundred".