506413080 has 512 divisors, whose sum is σ = 1969920000. Its totient is φ = 114960384.

The previous prime is 506413069. The next prime is 506413081. The reversal of 506413080 is 80314605.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506413081) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13686822 + ... + 13686858.

It is an arithmetic number, because the mean of its divisors is an integer number (3847500).

Almost surely, 2^506413080 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 506413080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984960000).

506413080 is an abundant number, since it is smaller than the sum of its proper divisors (1463506920).

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

506413080 is a wasteful number, since it uses less digits than its factorization.

506413080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 506413080 is about 22503.6237081942. The cubic root of 506413080 is about 797.0794971360.

Adding to 506413080 its reverse (80314605), we get a palindrome (586727685).

The spelling of 506413080 in words is "five hundred six million, four hundred thirteen thousand, eighty".