495720 has 112 divisors (see below), whose sum is σ = 1770660. Its totient is φ = 124416.

The previous prime is 495713. The next prime is 495749. The reversal of 495720 is 27594.

495720 = 22³ + 23³ + ... + 38³.

It can be written as a sum of positive squares in 2 ways, for example, as 492804 + 2916 = 702^2 + 54^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 29152 + ... + 29168.

2⁴⁹⁵⁷²⁰ is an apocalyptic number.

495720 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 495720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885330).

495720 is an abundant number, since it is smaller than the sum of its proper divisors (1274940).

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

495720 is a wasteful number, since it uses less digits than its factorization.

495720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 495720 is about 704.0738597619. The cubic root of 495720 is about 79.1429340988.

The spelling of 495720 in words is "four hundred ninety-five thousand, seven hundred twenty".