496183968 has 480 divisors, whose sum is σ = 1844156160. Its totient is φ = 127733760.

The previous prime is 496183957. The next prime is 496183973. The reversal of 496183968 is 869381694.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

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 79 ways as a sum of consecutive naturals, for example, 12102028 + ... + 12102068.

It is an arithmetic number, because the mean of its divisors is an integer number (3841992).

Almost surely, 2^496183968 is an apocalyptic number.

496183968 is a gapful number since it is divisible by the number (48) 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 496183968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922078080).

496183968 is an abundant number, since it is smaller than the sum of its proper divisors (1347972192).

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

496183968 is a wasteful number, since it uses less digits than its factorization.

496183968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 105 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 496183968 is about 22275.1872719400. The cubic root of 496183968 is about 791.6761761566.

The spelling of 496183968 in words is "four hundred ninety-six million, one hundred eighty-three thousand, nine hundred sixty-eight".