496306560 has 128 divisors (see below), whose sum is σ = 1604100960. Its totient is φ = 130498560.

The previous prime is 496306537. The next prime is 496306637. The reversal of 496306560 is 65603694.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 138390 + ... + 141930.

Almost surely, 2^496306560 is an apocalyptic number.

496306560 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 496306560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802050480).

496306560 is an abundant number, since it is smaller than the sum of its proper divisors (1107794400).

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

496306560 is a wasteful number, since it uses less digits than its factorization.

496306560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3636 (or 3624 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 39.

The square root of 496306560 is about 22277.9388633688. The cubic root of 496306560 is about 791.7413705067.

The spelling of 496306560 in words is "four hundred ninety-six million, three hundred six thousand, five hundred sixty".