493776 has 60 divisors (see below), whose sum is σ = 1444352. Its totient is φ = 163296.

The previous prime is 493747. The next prime is 493777. The reversal of 493776 is 677394.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 493776.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493777) by changing a digit.

493776 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, 3825 + ... + 3951.

2⁴⁹³⁷⁷⁶ 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 493776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722176).

493776 is an abundant number, since it is smaller than the sum of its proper divisors (950576).

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

493776 is a wasteful number, since it uses less digits than its factorization.

493776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 132 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The square root of 493776 is about 702.6919666540. The cubic root of 493776 is about 79.0393437526.

The spelling of 493776 in words is "four hundred ninety-three thousand, seven hundred seventy-six".