493818000 has 240 divisors, whose sum is σ = 1727496576. Its totient is φ = 121305600.

The previous prime is 493817983. The next prime is 493818029. The reversal of 493818000 is 818394.

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

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 1013757 + ... + 1014243.

Almost surely, 2^493818000 is an apocalyptic number.

493818000 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 493818000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863748288).

493818000 is an abundant number, since it is smaller than the sum of its proper divisors (1233678576).

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

493818000 is a wasteful number, since it uses less digits than its factorization.

493818000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 493818000 is about 22222.0161101553. The cubic root of 493818000 is about 790.4158468660.

The spelling of 493818000 in words is "four hundred ninety-three million, eight hundred eighteen thousand".