506134980 has 144 divisors (see below), whose sum is σ = 1714824384. Its totient is φ = 124571520.

The previous prime is 506134969. The next prime is 506134991. The reversal of 506134980 is 89431605.

It is an interprime number because it is at equal distance from previous prime (506134969) and next prime (506134991).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59175 + ... + 67185.

Almost surely, 2^506134980 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 506134980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857412192).

506134980 is an abundant number, since it is smaller than the sum of its proper divisors (1208689404).

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

506134980 is a wasteful number, since it uses less digits than its factorization.

506134980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8048 (or 8034 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 506134980 is about 22497.4438548027. The cubic root of 506134980 is about 796.9335633085.

The spelling of 506134980 in words is "five hundred six million, one hundred thirty-four thousand, nine hundred eighty".