495144 has 72 divisors (see below), whose sum is σ = 1509690. Its totient is φ = 145728.

The previous prime is 495139. The next prime is 495149. The reversal of 495144 is 441594.

495144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (495139) and next prime (495149).

It can be written as a sum of positive squares in only one way, i.e., 476100 + 19044 = 690^2 + 138^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (495149) by changing a digit.

495144 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 17 ways as a sum of consecutive naturals, for example, 21517 + ... + 21539.

2⁴⁹⁵¹⁴⁴ 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 495144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754845).

495144 is an abundant number, since it is smaller than the sum of its proper divisors (1014546).

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

495144 is a wasteful number, since it uses less digits than its factorization.

495144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 41 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 495144 is about 703.6646928758. The cubic root of 495144 is about 79.1122689399.

The spelling of 495144 in words is "four hundred ninety-five thousand, one hundred forty-four".