493185000 has 480 divisors, whose sum is σ = 1987238880. Its totient is φ = 100800000.

The previous prime is 493184971. The next prime is 493185013. The reversal of 493185000 is 581394.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8084970 + ... + 8085030.

It is an arithmetic number, because the mean of its divisors is an integer number (4140081).

Almost surely, 2^493185000 is an apocalyptic number.

493185000 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 493185000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993619440).

493185000 is an abundant number, since it is smaller than the sum of its proper divisors (1494053880).

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

493185000 is a wasteful number, since it uses less digits than its factorization.

493185000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 493185000 is about 22207.7689109014. The cubic root of 493185000 is about 790.0779712605.

The spelling of 493185000 in words is "four hundred ninety-three million, one hundred eighty-five thousand".