493080210 has 320 divisors, whose sum is σ = 1672704000. Its totient is φ = 101616768.

The previous prime is 493080209. The next prime is 493080293. The reversal of 493080210 is 12080394.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2477691 + ... + 2477889.

It is an arithmetic number, because the mean of its divisors is an integer number (5227200).

Almost surely, 2^493080210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 493080210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836352000).

493080210 is an abundant number, since it is smaller than the sum of its proper divisors (1179623790).

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

493080210 is a wasteful number, since it uses less digits than its factorization.

493080210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 493080210 is about 22205.4094760714. The cubic root of 493080210 is about 790.0220097484.

The spelling of 493080210 in words is "four hundred ninety-three million, eighty thousand, two hundred ten".