493210890 has 64 divisors (see below), whose sum is σ = 1322956800. Its totient is φ = 130750272.

The previous prime is 493210889. The next prime is 493210897. The reversal of 493210890 is 98012394.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (493210897) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41431 + ... + 51989.

It is an arithmetic number, because the mean of its divisors is an integer number (20671200).

Almost surely, 2^493210890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 493210890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661478400).

493210890 is an abundant number, since it is smaller than the sum of its proper divisors (829745910).

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

493210890 is a wasteful number, since it uses less digits than its factorization.

493210890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10748 (or 10742 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 493210890 is about 22208.3518073719. The cubic root of 493210890 is about 790.0917962016.

The spelling of 493210890 in words is "four hundred ninety-three million, two hundred ten thousand, eight hundred ninety".