493380 has 36 divisors (see below), whose sum is σ = 1497132. Its totient is φ = 131520.

The previous prime is 493369. The next prime is 493393. The reversal of 493380 is 83394.

It can be written as a sum of positive squares in 2 ways, for example, as 161604 + 331776 = 402^2 + 576^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

493380 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1191 + ... + 1550.

It is an arithmetic number, because the mean of its divisors is an integer number (41587).

2⁴⁹³³⁸⁰ is an apocalyptic number.

It is an amenable number.

493380 is an abundant number, since it is smaller than the sum of its proper divisors (1003752).

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

493380 is a wasteful number, since it uses less digits than its factorization.

493380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2756 (or 2751 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 493380 is about 702.4101366011. The cubic root of 493380 is about 79.0182086960.

The spelling of 493380 in words is "four hundred ninety-three thousand, three hundred eighty".