495956720 has 80 divisors (see below), whose sum is σ = 1326456768. Its totient is φ = 168929280.

The previous prime is 495956701. The next prime is 495956723. The reversal of 495956720 is 27659594.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×495956720² = 491946136226316800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495956723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85100 + ... + 90740.

Almost surely, 2^495956720 is an apocalyptic number.

495956720 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 495956720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663228384).

495956720 is an abundant number, since it is smaller than the sum of its proper divisors (830500048).

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

495956720 is a wasteful number, since it uses less digits than its factorization.

495956720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5818 (or 5812 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 47.

The square root of 495956720 is about 22270.0857654388. The cubic root of 495956720 is about 791.5552974023. Note that the first 3 decimals are identical.

The spelling of 495956720 in words is "four hundred ninety-five million, nine hundred fifty-six thousand, seven hundred twenty".