496740480 has 128 divisors (see below), whose sum is σ = 1590563520. Its totient is φ = 131862528.

The previous prime is 496740457. The next prime is 496740533. The reversal of 496740480 is 84047694.

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

It is a super-2 number, since 2×496740480² = 493502208941260800, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 562119 + ... + 563001.

Almost surely, 2^496740480 is an apocalyptic number.

496740480 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 496740480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795281760).

496740480 is an abundant number, since it is smaller than the sum of its proper divisors (1093823040).

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

496740480 is a wasteful number, since it uses less digits than its factorization.

496740480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 496740480 is about 22287.6755180974. The cubic root of 496740480 is about 791.9720426821.

The spelling of 496740480 in words is "four hundred ninety-six million, seven hundred forty thousand, four hundred eighty".