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494893800 = 23355217599
BaseRepresentation
bin11101011111110…
…111101011101000
31021111020012200000
4131133313223220
52003143100200
6121035143000
715156346032
oct3537675350
91244205600
10494893800
1123439a045
121198a4a60
137b6b7b8b
1449a26c52
152d6aa300
hex1d7f7ae8

494893800 has 288 divisors, whose sum is σ = 1828008000. Its totient is φ = 124001280.

The previous prime is 494893799. The next prime is 494893801. The reversal of 494893800 is 8398494.

It is a happy number.

494893800 is a `hidden beast` number, since 494 + 89 + 3 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (494893799) and next prime (494893801).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (494893801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 825901 + ... + 826499.

It is an arithmetic number, because the mean of its divisors is an integer number (6347250).

Almost surely, 2494893800 is an apocalyptic number.

494893800 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 494893800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914004000).

494893800 is an abundant number, since it is smaller than the sum of its proper divisors (1333114200).

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

494893800 is a wasteful number, since it uses less digits than its factorization.

494893800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 494893800 is about 22246.2086657480. The cubic root of 494893800 is about 790.9894135265.

The spelling of 494893800 in words is "four hundred ninety-four million, eight hundred ninety-three thousand, eight hundred".