495659520 has 320 divisors, whose sum is σ = 1803098880. Its totient is φ = 129024000.

The previous prime is 495659513. The next prime is 495659533. The reversal of 495659520 is 25956594.

It is a happy number.

495659520 is a `hidden beast` number, since 4 + 9 + 56 + 595 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4907470 + ... + 4907570.

It is an arithmetic number, because the mean of its divisors is an integer number (5634684).

Almost surely, 2^495659520 is an apocalyptic number.

495659520 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 495659520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901549440).

495659520 is an abundant number, since it is smaller than the sum of its proper divisors (1307439360).

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

495659520 is a wasteful number, since it uses less digits than its factorization.

495659520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The square root of 495659520 is about 22263.4121374061. The cubic root of 495659520 is about 791.3971537367.

The spelling of 495659520 in words is "four hundred ninety-five million, six hundred fifty-nine thousand, five hundred twenty".