494829000 has 320 divisors, whose sum is σ = 1783782000. Its totient is φ = 127872000.

The previous prime is 494828953. The next prime is 494829007. The reversal of 494829000 is 928494.

It is a happy number.

494829000 is a `hidden beast` number, since 494 + 82 + 90 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 49028004 + 445800996 = 7002^2 + 21114^2 .

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

It is not an unprimeable number, because it can be changed into a prime (494829007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3320926 + ... + 3321074.

Almost surely, 2^494829000 is an apocalyptic number.

494829000 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 494829000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891891000).

494829000 is an abundant number, since it is smaller than the sum of its proper divisors (1288953000).

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

494829000 is a wasteful number, since it uses less digits than its factorization.

494829000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 494829000 is about 22244.7521901234. The cubic root of 494829000 is about 790.9548887111.

The spelling of 494829000 in words is "four hundred ninety-four million, eight hundred twenty-nine thousand".