495586560 has 288 divisors, whose sum is σ = 1836656640. Its totient is φ = 111550464.

The previous prime is 495586549. The next prime is 495586571. The reversal of 495586560 is 65685594.

It is an interprime number because it is at equal distance from previous prime (495586549) and next prime (495586571).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2768551 + ... + 2768729.

It is an arithmetic number, because the mean of its divisors is an integer number (6377280).

Almost surely, 2^495586560 is an apocalyptic number.

495586560 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 495586560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918328320).

495586560 is an abundant number, since it is smaller than the sum of its proper divisors (1341070080).

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

495586560 is a wasteful number, since it uses less digits than its factorization.

495586560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 48.

The square root of 495586560 is about 22261.7735142553. The cubic root of 495586560 is about 791.3583211865.

The spelling of 495586560 in words is "four hundred ninety-five million, five hundred eighty-six thousand, five hundred sixty".