494406000 has 360 divisors, whose sum is σ = 1906409232. Its totient is φ = 119328000.

The previous prime is 494405987. The next prime is 494406013. The reversal of 494406000 is 604494.

It is an interprime number because it is at equal distance from previous prime (494405987) and next prime (494406013).

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2177887 + ... + 2178113.

Almost surely, 2^494406000 is an apocalyptic number.

494406000 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 494406000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953204616).

494406000 is an abundant number, since it is smaller than the sum of its proper divisors (1412003232).

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

494406000 is a wasteful number, since it uses less digits than its factorization.

494406000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 494406000 is about 22235.2422968584. The cubic root of 494406000 is about 790.7294442990.

The spelling of 494406000 in words is "four hundred ninety-four million, four hundred six thousand".