493515 has 24 divisors (see below), whose sum is σ = 934128. Its totient is φ = 239040.

The previous prime is 493481. The next prime is 493523. The reversal of 493515 is 515394.

It is not a de Polignac number, because 493515 - 2¹⁰ = 492491 is a prime.

493515 is a lucky 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, 4 + ... + 993.

It is an arithmetic number, because the mean of its divisors is an integer number (38922).

2⁴⁹³⁵¹⁵ is an apocalyptic number.

493515 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

493515 is a deficient number, since it is larger than the sum of its proper divisors (440613).

493515 is a wasteful number, since it uses less digits than its factorization.

493515 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019 (or 1016 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The square root of 493515 is about 702.5062277304. The cubic root of 493515 is about 79.0254150990.

It can be divided in two parts, 4935 and 15, that added together give a triangular number (4950 = T₉₉).

The spelling of 493515 in words is "four hundred ninety-three thousand, five hundred fifteen".