493080 has 64 divisors (see below), whose sum is σ = 1693440. Its totient is φ = 112512.

The previous prime is 493067. The next prime is 493093. The reversal of 493080 is 80394.

It is an interprime number because it is at equal distance from previous prime (493067) and next prime (493093).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 493080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 547 + ... + 1133.

It is an arithmetic number, because the mean of its divisors is an integer number (26460).

2⁴⁹³⁰⁸⁰ is an apocalyptic number.

493080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 493080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846720).

493080 is an abundant number, since it is smaller than the sum of its proper divisors (1200360).

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

493080 is a wasteful number, since it uses less digits than its factorization.

493080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 493080 is about 702.1965536800. The cubic root of 493080 is about 79.0021897593.

Subtracting from 493080 its reverse (80394), we obtain a triangular number (412686 = T₉₀₈).

The spelling of 493080 in words is "four hundred ninety-three thousand, eighty".