496410504480 has 768 divisors, whose sum is σ = 2004491059200. Its totient is φ = 113605632000.

The previous prime is 496410504397. The next prime is 496410504533. The reversal of 496410504480 is 84405014694.

496410504480 is a `hidden beast` number, since 4 + 9 + 64 + 1 + 0 + 504 + 4 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 60393811 + ... + 60402029.

It is an arithmetic number, because the mean of its divisors is an integer number (2610014400).

Almost surely, 2^496410504480 is an apocalyptic number.

496410504480 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 496410504480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002245529600).

496410504480 is an abundant number, since it is smaller than the sum of its proper divisors (1508080554720).

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

496410504480 is a wasteful number, since it uses less digits than its factorization.

496410504480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8326 (or 8312 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 496410504480 in words is "four hundred ninety-six billion, four hundred ten million, five hundred four thousand, four hundred eighty".