496488960 has 320 divisors, whose sum is σ = 1926840960. Its totient is φ = 120176640.

The previous prime is 496488947. The next prime is 496488989. The reversal of 496488960 is 69884694.

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 (54).

It is a junction number, because it is equal to n+sod(n) for n = 496488897 and 496488906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 759994 + ... + 760646.

It is an arithmetic number, because the mean of its divisors is an integer number (6021378).

Almost surely, 2^496488960 is an apocalyptic number.

496488960 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 496488960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963420480).

496488960 is an abundant number, since it is smaller than the sum of its proper divisors (1430352000).

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

496488960 is a wasteful number, since it uses less digits than its factorization.

496488960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 496488960 is about 22282.0322232960. The cubic root of 496488960 is about 791.8383508476.

The spelling of 496488960 in words is "four hundred ninety-six million, four hundred eighty-eight thousand, nine hundred sixty".