493680 has 120 divisors (see below), whose sum is σ = 1781136. Its totient is φ = 112640.

The previous prime is 493657. The next prime is 493693. The reversal of 493680 is 86394.

493680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29032 + ... + 29048.

2⁴⁹³⁶⁸⁰ is an apocalyptic number.

493680 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 493680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890568).

493680 is an abundant number, since it is smaller than the sum of its proper divisors (1287456).

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

493680 is a wasteful number, since it uses less digits than its factorization.

493680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 493680 is about 702.6236545975. The cubic root of 493680 is about 79.0342211404.

The spelling of 493680 in words is "four hundred ninety-three thousand, six hundred eighty".