506139480 has 576 divisors, whose sum is σ = 2230675200. Its totient is φ = 96422400.

The previous prime is 506139463. The next prime is 506139481. The reversal of 506139480 is 84931605.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506139481) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16327065 + ... + 16327095.

It is an arithmetic number, because the mean of its divisors is an integer number (3872700).

Almost surely, 2^506139480 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 506139480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1115337600).

506139480 is an abundant number, since it is smaller than the sum of its proper divisors (1724535720).

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

506139480 is a wasteful number, since it uses less digits than its factorization.

506139480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 78 counting only the distinct ones).

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

The square root of 506139480 is about 22497.5438659423. The cubic root of 506139480 is about 796.9359251227.

The spelling of 506139480 in words is "five hundred six million, one hundred thirty-nine thousand, four hundred eighty".