506597280 has 384 divisors, whose sum is σ = 1981324800. Its totient is φ = 108380160.

The previous prime is 506597261. The next prime is 506597281. The reversal of 506597280 is 82795605.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506597281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2798790 + ... + 2798970.

It is an arithmetic number, because the mean of its divisors is an integer number (5159700).

Almost surely, 2^506597280 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 506597280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990662400).

506597280 is an abundant number, since it is smaller than the sum of its proper divisors (1474727520).

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

506597280 is a wasteful number, since it uses less digits than its factorization.

506597280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The square root of 506597280 is about 22507.7160102930. The cubic root of 506597280 is about 797.1761272399.

The spelling of 506597280 in words is "five hundred six million, five hundred ninety-seven thousand, two hundred eighty".