496448686560 has 384 divisors, whose sum is σ = 1703085834240. Its totient is φ = 121096857600.

The previous prime is 496448686549. The next prime is 496448686567. The reversal of 496448686560 is 65686844694.

It is a super-2 number, since 2×496448686560² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 496448686491 and 496448686500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (496448686567) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 142206415 + ... + 142209905.

It is an arithmetic number, because the mean of its divisors is an integer number (4435119360).

Almost surely, 2^496448686560 is an apocalyptic number.

496448686560 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 496448686560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851542917120).

496448686560 is an abundant number, since it is smaller than the sum of its proper divisors (1206637147680).

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

496448686560 is a wasteful number, since it uses less digits than its factorization.

496448686560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4062 (or 4054 counting only the distinct ones).

The product of its (nonzero) digits is 238878720, while the sum is 66.

The spelling of 496448686560 in words is "four hundred ninety-six billion, four hundred forty-eight million, six hundred eighty-six thousand, five hundred sixty".