496480480 has 48 divisors (see below), whose sum is σ = 1201559184. Its totient is φ = 193745920.

The previous prime is 496480459. The next prime is 496480487. The reversal of 496480480 is 84084694.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (496480487) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31282 + ... + 44401.

It is an arithmetic number, because the mean of its divisors is an integer number (25032483).

Almost surely, 2^496480480 is an apocalyptic number.

496480480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

496480480 is an abundant number, since it is smaller than the sum of its proper divisors (705078704).

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

496480480 is a wasteful number, since it uses less digits than its factorization.

496480480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75739 (or 75731 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 43.

The square root of 496480480 is about 22281.8419346337. The cubic root of 496480480 is about 791.8338426390.

The spelling of 496480480 in words is "four hundred ninety-six million, four hundred eighty thousand, four hundred eighty".