495360 has 108 divisors (see below), whose sum is σ = 1753752. Its totient is φ = 129024.

The previous prime is 495359. The next prime is 495361. The reversal of 495360 is 63594.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (495359) and next prime (495361).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11499 + ... + 11541.

2⁴⁹⁵³⁶⁰ is an apocalyptic number.

495360 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 495360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876876).

495360 is an abundant number, since it is smaller than the sum of its proper divisors (1258392).

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

495360 is a wasteful number, since it uses less digits than its factorization.

495360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 495360 is about 703.8181583335. The cubic root of 495360 is about 79.1237711601.

The spelling of 495360 in words is "four hundred ninety-five thousand, three hundred sixty".