493284100 has 27 divisors (see below), whose sum is σ = 1070908671. Its totient is φ = 197224800.

The previous prime is 493284097. The next prime is 493284107. The reversal of 493284100 is 1482394.

The square root of 493284100 is 22210.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 799236 + 492484864 = 894^2 + 22192^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (493284107) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 220990 + ... + 223210.

Almost surely, 2^493284100 is an apocalyptic number.

493284100 is the 22210-th square number.

It is an amenable number.

493284100 is an abundant number, since it is smaller than the sum of its proper divisors (577624571).

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

493284100 is an equidigital number, since it uses as much as digits as its factorization.

493284100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4456 (or 2228 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The cubic root of 493284100 is about 790.1308868218.

The spelling of 493284100 in words is "four hundred ninety-three million, two hundred eighty-four thousand, one hundred".