494208000 has 704 divisors, whose sum is σ = 2145911040. Its totient is φ = 110592000.

The previous prime is 494207999. The next prime is 494208007. The reversal of 494208000 is 802494.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (494208007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38015994 + ... + 38016006.

Almost surely, 2^494208000 is an apocalyptic number.

494208000 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 494208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072955520).

494208000 is an abundant number, since it is smaller than the sum of its proper divisors (1651703040).

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

494208000 is a wasteful number, since it uses less digits than its factorization.

494208000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 494208000 is about 22230.7894596661. The cubic root of 494208000 is about 790.6238729433.

The spelling of 494208000 in words is "four hundred ninety-four million, two hundred eight thousand".