506832480 has 432 divisors, whose sum is σ = 2198209104. Its totient is φ = 105154560.

The previous prime is 506832463. The next prime is 506832497. The reversal of 506832480 is 84238605.

It is an interprime number because it is at equal distance from previous prime (506832463) and next prime (506832497).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 775834 + ... + 776486.

It is an arithmetic number, because the mean of its divisors is an integer number (5088447).

Almost surely, 2^506832480 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 506832480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099104552).

506832480 is an abundant number, since it is smaller than the sum of its proper divisors (1691376624).

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

506832480 is a wasteful number, since it uses less digits than its factorization.

506832480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 506832480 is about 22512.9402788707. The cubic root of 506832480 is about 797.2994775641.

The spelling of 506832480 in words is "five hundred six million, eight hundred thirty-two thousand, four hundred eighty".