500414676520 has 128 divisors (see below), whose sum is σ = 1269252218880. Its totient is φ = 175912992000.

The previous prime is 500414676491. The next prime is 500414676521. The reversal of 500414676520 is 25676414005.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (500414676521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13225549 + ... + 13263331.

It is an arithmetic number, because the mean of its divisors is an integer number (9916032960).

Almost surely, 2^500414676520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 500414676520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634626109440).

500414676520 is an abundant number, since it is smaller than the sum of its proper divisors (768837542360).

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

500414676520 is a wasteful number, since it uses less digits than its factorization.

500414676520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38807 (or 38803 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The spelling of 500414676520 in words is "five hundred billion, four hundred fourteen million, six hundred seventy-six thousand, five hundred twenty".