495924 has 72 divisors (see below), whose sum is σ = 1444128. Its totient is φ = 130560.

The previous prime is 495923. The next prime is 495931. The reversal of 495924 is 429594.

It is a super-2 number, since 2×495924² = 491881227552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495923) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29164 + ... + 29180.

2⁴⁹⁵⁹²⁴ is an apocalyptic number.

495924 is a gapful number since it is divisible by the number (44) 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 495924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722064).

495924 is an abundant number, since it is smaller than the sum of its proper divisors (948204).

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

495924 is a wasteful number, since it uses less digits than its factorization.

495924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 46 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 495924 is about 704.2187160251. The cubic root of 495924 is about 79.1537889795.

The spelling of 495924 in words is "four hundred ninety-five thousand, nine hundred twenty-four".