495972 has 36 divisors (see below), whose sum is σ = 1310400. Its totient is φ = 157872.

The previous prime is 495967. The next prime is 495973. The reversal of 495972 is 279594.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (495973) by changing a digit.

495972 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 11 ways as a sum of consecutive naturals, for example, 529 + ... + 1127.

It is an arithmetic number, because the mean of its divisors is an integer number (36400).

2⁴⁹⁵⁹⁷² 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 495972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655200).

495972 is an abundant number, since it is smaller than the sum of its proper divisors (814428).

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

495972 is a wasteful number, since it uses less digits than its factorization.

495972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 627 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 495972 is about 704.2527955216. The cubic root of 495972 is about 79.1563426365.

The spelling of 495972 in words is "four hundred ninety-five thousand, nine hundred seventy-two".