500505909456 has 320 divisors, whose sum is σ = 1553075596800. Its totient is φ = 135878443008.

The previous prime is 500505909443. The next prime is 500505909493. The reversal of 500505909456 is 654909505005.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 202060090 + ... + 202062566.

It is an arithmetic number, because the mean of its divisors is an integer number (4853361240).

Almost surely, 2^500505909456 is an apocalyptic number.

500505909456 is a gapful number since it is divisible by the number (56) 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 500505909456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776537798400).

500505909456 is an abundant number, since it is smaller than the sum of its proper divisors (1052569687344).

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

500505909456 is a wasteful number, since it uses less digits than its factorization.

500505909456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2846 (or 2840 counting only the distinct ones).

The product of its (nonzero) digits is 1215000, while the sum is 48.

The spelling of 500505909456 in words is "five hundred billion, five hundred five million, nine hundred nine thousand, four hundred fifty-six".