506780240 has 80 divisors (see below), whose sum is σ = 1204275600. Its totient is φ = 198291456.

The previous prime is 506780237. The next prime is 506780279. The reversal of 506780240 is 42087605.

It can be written as a sum of positive squares in 8 ways, for example, as 37797904 + 468982336 = 6148^2 + 21656^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 506780197 and 506780206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 775754 + ... + 776406.

It is an arithmetic number, because the mean of its divisors is an integer number (15053445).

Almost surely, 2^506780240 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 506780240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602137800).

506780240 is an abundant number, since it is smaller than the sum of its proper divisors (697495360).

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

506780240 is a wasteful number, since it uses less digits than its factorization.

506780240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 506780240 is about 22511.7800273546. The cubic root of 506780240 is about 797.2720836634.

The spelling of 506780240 in words is "five hundred six million, seven hundred eighty thousand, two hundred forty".