493376 has 28 divisors (see below), whose sum is σ = 1056132. Its totient is φ = 227328.

The previous prime is 493369. The next prime is 493393. The reversal of 493376 is 673394.

493376 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 179776 + 313600 = 424^2 + 560^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

493376 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 3 ways as a sum of consecutive naturals, for example, 536 + ... + 1128.

It is an arithmetic number, because the mean of its divisors is an integer number (37719).

2⁴⁹³³⁷⁶ 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 493376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528066).

493376 is an abundant number, since it is smaller than the sum of its proper divisors (562756).

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

493376 is a wasteful number, since it uses less digits than its factorization.

493376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 608 counting only the distinct ones).

The product of its digits is 13608, while the sum is 32.

The square root of 493376 is about 702.4072892560. The cubic root of 493376 is about 79.0179951529.

The spelling of 493376 in words is "four hundred ninety-three thousand, three hundred seventy-six".