493580 has 48 divisors (see below), whose sum is σ = 1149120. Its totient is φ = 177408.

The previous prime is 493579. The next prime is 493583. The reversal of 493580 is 85394.

493580 = T₂₉ + T₃₀ + ... + T₁₄₃.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (493583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13322 + ... + 13358.

It is an arithmetic number, because the mean of its divisors is an integer number (23940).

2⁴⁹³⁵⁸⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 493580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574560).

493580 is an abundant number, since it is smaller than the sum of its proper divisors (655540).

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

493580 is a wasteful number, since it uses less digits than its factorization.

493580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 493580 is about 702.5524891423. The cubic root of 493580 is about 79.0288843799.

493580 divided by its sum of digits (29) gives a triangular number (17020 = T₁₈₄).

The spelling of 493580 in words is "four hundred ninety-three thousand, five hundred eighty".