495180 has 96 divisors (see below), whose sum is σ = 1774080. Its totient is φ = 112320.

The previous prime is 495161. The next prime is 495181. The reversal of 495180 is 81594.

495180 = T₁₀₄ + T₁₀₅ + ... + T₁₅₉.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (495181) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3715 + ... + 3845.

It is an arithmetic number, because the mean of its divisors is an integer number (18480).

2⁴⁹⁵¹⁸⁰ 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 495180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887040).

495180 is an abundant number, since it is smaller than the sum of its proper divisors (1278900).

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

495180 is a wasteful number, since it uses less digits than its factorization.

495180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 495180 is about 703.6902727763. The cubic root of 495180 is about 79.1141862089.

The spelling of 495180 in words is "four hundred ninety-five thousand, one hundred eighty".