506793280 has 84 divisors (see below), whose sum is σ = 1403873748. Its totient is φ = 173752320.

The previous prime is 506793263. The next prime is 506793283. The reversal of 506793280 is 82397605.

It can be written as a sum of positive squares in 2 ways, for example, as 183656704 + 323136576 = 13552^2 + 17976^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506793283) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 481 + ... + 31840.

Almost surely, 2^506793280 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 506793280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701936874).

506793280 is an abundant number, since it is smaller than the sum of its proper divisors (897080468).

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

506793280 is a wasteful number, since it uses less digits than its factorization.

506793280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32352 (or 32335 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 506793280 is about 22512.0696516335. The cubic root of 506793280 is about 797.2789218272.

The spelling of 506793280 in words is "five hundred six million, seven hundred ninety-three thousand, two hundred eighty".